102972057 has 16 divisors (see below), whose sum is σ = 143149248. Its totient is φ = 65782080.

The previous prime is 102972053. The next prime is 102972059. The reversal of 102972057 is 750279201.

It is not a de Polignac number, because 102972057 - 2² = 102972053 is a prime.

It is a super-2 number, since 2×102972057² = 21206489045622498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102972053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694 + ... + 14367.

It is an arithmetic number, because the mean of its divisors is an integer number (8946828).

Almost surely, 2^102972057 is an apocalyptic number.

It is an amenable number.

102972057 is a deficient number, since it is larger than the sum of its proper divisors (40177191).

102972057 is a wasteful number, since it uses less digits than its factorization.

102972057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15160.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 102972057 is about 10147.5148189101. The cubic root of 102972057 is about 468.7124212364.

The spelling of 102972057 in words is "one hundred two million, nine hundred seventy-two thousand, fifty-seven".