102257672 has 32 divisors (see below), whose sum is σ = 209761920. Its totient is φ = 46347840.

The previous prime is 102257663. The next prime is 102257681. The reversal of 102257672 is 276752201.

It is an interprime number because it is at equal distance from previous prime (102257663) and next prime (102257681).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33473 + ... + 36399.

It is an arithmetic number, because the mean of its divisors is an integer number (6555060).

Almost surely, 2^102257672 is an apocalyptic number.

It is an amenable number.

102257672 is an abundant number, since it is smaller than the sum of its proper divisors (107504248).

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

102257672 is a wasteful number, since it uses less digits than its factorization.

102257672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 102257672 is about 10112.2535569476. The cubic root of 102257672 is about 467.6259826140.

The spelling of 102257672 in words is "one hundred two million, two hundred fifty-seven thousand, six hundred seventy-two".