105796864 has 36 divisors (see below), whose sum is σ = 222305440. Its totient is φ = 50112000.

The previous prime is 105796861. The next prime is 105796897. The reversal of 105796864 is 468697501.

It is a super-2 number, since 2×105796864² = 22385952864468992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105796861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6012 + ... + 15739.

Almost surely, 2^105796864 is an apocalyptic number.

It is an amenable number.

105796864 is an abundant number, since it is smaller than the sum of its proper divisors (116508576).

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

105796864 is an equidigital number, since it uses as much as digits as its factorization.

105796864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21786 (or 21772 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 105796864 is about 10285.7602538655. The cubic root of 105796864 is about 472.9598393762.

The spelling of 105796864 in words is "one hundred five million, seven hundred ninety-six thousand, eight hundred sixty-four".