102564112 has 40 divisors (see below), whose sum is σ = 227763200. Its totient is φ = 43828992.

The previous prime is 102564103. The next prime is 102564127. The reversal of 102564112 is 211465201.

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, 44689 + ... + 46927.

It is an arithmetic number, because the mean of its divisors is an integer number (5694080).

Almost surely, 2^102564112 is an apocalyptic number.

It is an amenable number.

102564112 is an abundant number, since it is smaller than the sum of its proper divisors (125199088).

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

102564112 is a wasteful number, since it uses less digits than its factorization.

102564112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 102564112 is about 10127.3941366968. The cubic root of 102564112 is about 468.0926351315.

The spelling of 102564112 in words is "one hundred two million, five hundred sixty-four thousand, one hundred twelve".