105131568 has 40 divisors (see below), whose sum is σ = 272353600. Its totient is φ = 34945344.

The previous prime is 105131567. The next prime is 105131573. The reversal of 105131568 is 865131501.

It is a super-2 number, since 2×105131568² = 22105293180277248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105131563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15303 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (6808840).

Almost surely, 2^105131568 is an apocalyptic number.

It is an amenable number.

105131568 is an abundant number, since it is smaller than the sum of its proper divisors (167222032).

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

105131568 is a wasteful number, since it uses less digits than its factorization.

105131568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 105131568 is about 10253.3686171911. The cubic root of 105131568 is about 471.9663626321.

The spelling of 105131568 in words is "one hundred five million, one hundred thirty-one thousand, five hundred sixty-eight".