105113972 has 18 divisors (see below), whose sum is σ = 185827698. Its totient is φ = 52025712.

The previous prime is 105113959. The next prime is 105114013. The reversal of 105113972 is 279311501.

It can be written as a sum of positive squares in only one way, i.e., 89794576 + 15319396 = 9476^2 + 3914^2 .

It is a super-2 number, since 2×105113972² = 22097894219233568, 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 5 ways as a sum of consecutive naturals, for example, 41198 + ... + 43674.

It is an arithmetic number, because the mean of its divisors is an integer number (10323761).

Almost surely, 2^105113972 is an apocalyptic number.

It is an amenable number.

105113972 is a deficient number, since it is larger than the sum of its proper divisors (80713726).

105113972 is a wasteful number, since it uses less digits than its factorization.

105113972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 105113972 is about 10252.5105218185. The cubic root of 105113972 is about 471.9400299658.

The spelling of 105113972 in words is "one hundred five million, one hundred thirteen thousand, nine hundred seventy-two".