105864180 has 48 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 28069888.

The previous prime is 105864149. The next prime is 105864191. The reversal of 105864180 is 81468501.

It is a super-2 number, since 2×105864180² = 22414449214144800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5812 + ... + 15668.

It is an arithmetic number, because the mean of its divisors is an integer number (6210540).

Almost surely, 2^105864180 is an apocalyptic number.

105864180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105864180 is an abundant number, since it is smaller than the sum of its proper divisors (192241740).

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

105864180 is a wasteful number, since it uses less digits than its factorization.

105864180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105864180 is about 10289.0320244423. The cubic root of 105864180 is about 473.0601290987.

The spelling of 105864180 in words is "one hundred five million, eight hundred sixty-four thousand, one hundred eighty".