105925264 has 45 divisors (see below), whose sum is σ = 214649859. Its totient is φ = 50636640.

The previous prime is 105925243. The next prime is 105925271. The reversal of 105925264 is 462529501.

It is a happy number.

The square root of 105925264 is 10292.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105925264² = 22440323106939392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1276167 + ... + 1276249.

Almost surely, 2^105925264 is an apocalyptic number.

105925264 is the 10292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105925264

105925264 is an abundant number, since it is smaller than the sum of its proper divisors (108724595).

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

105925264 is an frugal number, since it uses more digits than its factorization.

105925264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The cubic root of 105925264 is about 473.1510973845.

The spelling of 105925264 in words is "one hundred five million, nine hundred twenty-five thousand, two hundred sixty-four".