105872960 has 28 divisors (see below), whose sum is σ = 252110748. Its totient is φ = 42349056.

The previous prime is 105872953. The next prime is 105872981. The reversal of 105872960 is 69278501.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 87759424 = 4256^2 + 9368^2 .

It is a super-2 number, since 2×105872960² = 22418167318323200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165107 + ... + 165746.

Almost surely, 2^105872960 is an apocalyptic number.

105872960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105872960 is an abundant number, since it is smaller than the sum of its proper divisors (146237788).

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

105872960 is an equidigital number, since it uses as much as digits as its factorization.

105872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330870 (or 330860 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 105872960 is about 10289.4586835266. The cubic root of 105872960 is about 473.0732067142.

The spelling of 105872960 in words is "one hundred five million, eight hundred seventy-two thousand, nine hundred sixty".