100160113 has 8 divisors (see below), whose sum is σ = 103761000. Its totient is φ = 96569088.

The previous prime is 100160069. The next prime is 100160143. The reversal of 100160113 is 311061001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49 + 100160064 = 7^2 + 10008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100160113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100160093 and 100160102.

It is not an unprimeable number, because it can be changed into a prime (100160143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22713 + ... + 26761.

It is an arithmetic number, because the mean of its divisors is an integer number (12970125).

Almost surely, 2^100160113 is an apocalyptic number.

It is an amenable number.

100160113 is a deficient number, since it is larger than the sum of its proper divisors (3600887).

100160113 is an equidigital number, since it uses as much as digits as its factorization.

100160113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100160113 is about 10008.0024480413. The cubic root of 100160113 is about 464.4064775024.

The spelling of 100160113 in words is "one hundred million, one hundred sixty thousand, one hundred thirteen".