105330864 has 40 divisors (see below), whose sum is σ = 274079680. Its totient is φ = 34855488.

The previous prime is 105330857. The next prime is 105330887. The reversal of 105330864 is 468033501.

It is a super-2 number, since 2×105330864² = 22189181821972992, which contains 22 as substring.

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, 1222 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (6851992).

Almost surely, 2^105330864 is an apocalyptic number.

It is an amenable number.

105330864 is an abundant number, since it is smaller than the sum of its proper divisors (168748816).

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

105330864 is a wasteful number, since it uses less digits than its factorization.

105330864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15937 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105330864 is about 10263.0825778613. The cubic root of 105330864 is about 472.2644070601.

The spelling of 105330864 in words is "one hundred five million, three hundred thirty thousand, eight hundred sixty-four".