105713568 has 72 divisors (see below), whose sum is σ = 316461600. Its totient is φ = 33381504.

The previous prime is 105713561. The next prime is 105713579. The reversal of 105713568 is 865317501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105713568² = 22350716918581248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105713561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4188 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (4395300).

Almost surely, 2^105713568 is an apocalyptic number.

105713568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105713568 is an abundant number, since it is smaller than the sum of its proper divisors (210748032).

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

105713568 is a wasteful number, since it uses less digits than its factorization.

105713568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19343 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 105713568 is about 10281.7103635533. The cubic root of 105713568 is about 472.8356831873.

The spelling of 105713568 in words is "one hundred five million, seven hundred thirteen thousand, five hundred sixty-eight".