105165113 has 6 divisors (see below), whose sum is σ = 108667962. Its totient is φ = 101771760.

The previous prime is 105165103. The next prime is 105165127. The reversal of 105165113 is 311561501.

It can be written as a sum of positive squares in only one way, i.e., 103388224 + 1776889 = 10168^2 + 1333^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105165113 is a prime.

It is a super-2 number, since 2×105165113² = 22119401984605538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105165103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53756 + ... + 55677.

It is an arithmetic number, because the mean of its divisors is an integer number (18111327).

Almost surely, 2^105165113 is an apocalyptic number.

It is an amenable number.

105165113 is a deficient number, since it is larger than the sum of its proper divisors (3502849).

105165113 is an equidigital number, since it uses as much as digits as its factorization.

105165113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109495 (or 109464 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 105165113 is about 10255.0042905891. The cubic root of 105165113 is about 472.0165550667.

The spelling of 105165113 in words is "one hundred five million, one hundred sixty-five thousand, one hundred thirteen".