105816160 has 48 divisors (see below), whose sum is σ = 264702816. Its totient is φ = 39835648.

The previous prime is 105816133. The next prime is 105816181. The reversal of 105816160 is 61618501.

It is a super-2 number, since 2×105816160² = 22394119434291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16732 + ... + 22171.

It is an arithmetic number, because the mean of its divisors is an integer number (5514642).

Almost surely, 2^105816160 is an apocalyptic number.

105816160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105816160 is an abundant number, since it is smaller than the sum of its proper divisors (158886656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105816160 is a wasteful number, since it uses less digits than its factorization.

105816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38935 (or 38927 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 105816160 is about 10286.6982069078. The cubic root of 105816160 is about 472.9885915778.

The spelling of 105816160 in words is "one hundred five million, eight hundred sixteen thousand, one hundred sixty".