105714920 has 32 divisors (see below), whose sum is σ = 244290600. Its totient is φ = 41142528.

The previous prime is 105714919. The next prime is 105714967. The reversal of 105714920 is 29417501.

It can be written as a sum of positive squares in 4 ways, for example, as 76143076 + 29571844 = 8726^2 + 5438^2 .

It is a super-2 number, since 2×105714920² = 22351288621212800, 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, 34235 + ... + 37194.

Almost surely, 2^105714920 is an apocalyptic number.

105714920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105714920 is an abundant number, since it is smaller than the sum of its proper divisors (138575680).

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

105714920 is a wasteful number, since it uses less digits than its factorization.

105714920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71477 (or 71473 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105714920 is about 10281.7761111590. The cubic root of 105714920 is about 472.8376989207.

The spelling of 105714920 in words is "one hundred five million, seven hundred fourteen thousand, nine hundred twenty".