105052972 has 12 divisors (see below), whose sum is σ = 184282336. Its totient is φ = 52400880.

The previous prime is 105052967. The next prime is 105053021. The reversal of 105052972 is 279250501.

It is a super-2 number, since 2×105052972² = 22072253852065568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29508 + ... + 32875.

Almost surely, 2^105052972 is an apocalyptic number.

It is an amenable number.

105052972 is a deficient number, since it is larger than the sum of its proper divisors (79229364).

105052972 is a wasteful number, since it uses less digits than its factorization.

105052972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62808 (or 62806 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 105052972 is about 10249.5352089741. The cubic root of 105052972 is about 471.8487198323.

The spelling of 105052972 in words is "one hundred five million, fifty-two thousand, nine hundred seventy-two".