105856160 has 48 divisors (see below), whose sum is σ = 250840800. Its totient is φ = 42214656.

The previous prime is 105856159. The next prime is 105856171. The reversal of 105856160 is 61658501.

It is a happy number.

It is a super-2 number, since 2×105856160² = 22411053219891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66251 + ... + 67829.

It is an arithmetic number, because the mean of its divisors is an integer number (5225850).

Almost surely, 2^105856160 is an apocalyptic number.

105856160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105856160 is an abundant number, since it is smaller than the sum of its proper divisors (144984640).

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

105856160 is a wasteful number, since it uses less digits than its factorization.

105856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105856160 is about 10288.6422816619. The cubic root of 105856160 is about 473.0481828545.

The spelling of 105856160 in words is "one hundred five million, eight hundred fifty-six thousand, one hundred sixty".