105700920 has 64 divisors (see below), whose sum is σ = 341500320. Its totient is φ = 26018304.

The previous prime is 105700879. The next prime is 105700949. The reversal of 105700920 is 29007501.

It is a super-2 number, since 2×105700920² = 22345368977692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32319 + ... + 35438.

Almost surely, 2^105700920 is an apocalyptic number.

105700920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105700920 is an abundant number, since it is smaller than the sum of its proper divisors (235799400).

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

105700920 is a wasteful number, since it uses less digits than its factorization.

105700920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67784 (or 67780 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 105700920 is about 10281.0952723919. The cubic root of 105700920 is about 472.8168251089.

The spelling of 105700920 in words is "one hundred five million, seven hundred thousand, nine hundred twenty".