106968 (number)
106,968 (one hundred six thousand nine hundred sixtyeight) is an even sixdigits composite number following 106967 and preceding 106969. In scientific notation, it is written as 1.06968 × 10^{5}. The sum of its digits is 30. It has a total of 5 prime factors and 16 positive divisors. There are 35,648 positive integers (up to 106968) that are relatively prime to 106968.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 30
 Digital Root 3
Name
Short name  106 thousand 968 

Full name  one hundred six thousand nine hundred sixtyeight 
Notation
Scientific notation  1.06968 × 10^{5} 

Engineering notation  106.968 × 10^{3} 
Prime Factorization of 106968
Prime Factorization 2^{3} × 3 × 4457
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  26742  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 106,968 is 2^{3} × 3 × 4457. Since it has a total of 5 prime factors, 106,968 is a composite number.
Divisors of 106968
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  267480  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  160512  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  16717.5  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  327.05962759106  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  6.3985643786451  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 106,968 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 106,968) is 267,480, the average is 1,671,7.5.
Other Arithmetic Functions (n = 106968)
φ(n)  Euler Totient  35648  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  4456  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10165  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 35,648 positive integers (less than 106,968) that are coprime with 106,968. And there are approximately 10,165 prime numbers less than or equal to 106,968.
Divisibility of 106968
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  1  0  3 
The number 106,968 is divisible by 2, 3, 4, 6 and 8.
Classification of 106968
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
Base conversion (106968)
Base  System  Value 

2  Binary  11010000111011000 
3  Ternary  12102201210 
4  Quaternary  122013120 
5  Quinary  11410333 
6  Senary  2143120 
8  Octal  320730 
10  Decimal  106968 
12  Duodecimal  51aa0 
16  Hexadecimal  1a1d8 
20  Vigesimal  d788 
36  Base36  2ajc 
Basic calculations (n = 106968)
Multiplication
n×yn×2  213936 

n×3  320904 
n×4  427872 
n×5  534840 
Division
n÷yn÷2  53484.000 

n÷3  35656.000 
n÷4  26742.000 
n÷5  21393.600 
Exponentiation
n^{y}n^{2}  11442153024 

n^{3}  1223944224671232 
n^{4}  130922865824632344576 
n^{5}  14004557111529272634605568 
Nth Root
^{y}√n^{2}√n  327.05962759106 

^{3}√n  47.469860843558 
^{4}√n  18.084789951533 
^{5}√n  10.13563062697 
106968 as geometric shapes
Circle
Radius = nDiameter  213936 

Circumference  672099.76593839 
Area  35946583881.449 
Sphere
Radius = nVolume  5.1268455795077E+15 

Surface area  143786335525.79 
Circumference  672099.76593839 
Square
Length = nPerimeter  427872 

Area  11442153024 
Diagonal  151275.59633993 
Cube
Length = nSurface area  68652918144 

Volume  1223944224671232 
Space diagonal  185274.01078403 
Equilateral Triangle
Length = nPerimeter  320904 

Area  4954597596.3865 
Altitude  92637.005392014 
Triangular Pyramid
Length = nSurface area  19818390385.546 

Volume  1.4424321017652E+14 
Height  87339.006268677 
Cryptographic Hash Functions
md5  77c49dcdb7b4cc58e5b07267c2df8908 

sha1  ae6748dd55c51f3ec1b0c3e184cdad9841e13a70 
sha256  029779446bb9735a775b39e0bc9bea4e427b003dabc4196169d0a7d0cd1b42e2 
sha512  433531968bbc66b37cd362b68029126cb900f833441387c66b5d5f80aa43e0ca1e985bf0049cdaca4869ee12293f12ca99af245a7dd672c88439db0a84018c41 
ripemd160  f8e4adebf750d505935ed1911746d12885a2d879 