105713752 has 32 divisors (see below), whose sum is σ = 211252320. Its totient is φ = 49420800.

The previous prime is 105713749. The next prime is 105713761. The reversal of 105713752 is 257317501.

It is a super-2 number, since 2×105713752² = 22350794723835008, which contains 22 as substring.

It is a congruent number.

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, 18877 + ... + 23827.

It is an arithmetic number, because the mean of its divisors is an integer number (6601635).

Almost surely, 2^105713752 is an apocalyptic number.

It is an amenable number.

105713752 is a deficient number, since it is larger than the sum of its proper divisors (105538568).

105713752 is a wasteful number, since it uses less digits than its factorization.

105713752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105713752 is about 10281.7193114770. The cubic root of 105713752 is about 472.8359575189.

The spelling of 105713752 in words is "one hundred five million, seven hundred thirteen thousand, seven hundred fifty-two".