102224864 has 48 divisors (see below), whose sum is σ = 242121600. Its totient is φ = 41503104.

The previous prime is 102224851. The next prime is 102224867. The reversal of 102224864 is 468422201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102224867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7754 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (5044200).

Almost surely, 2^102224864 is an apocalyptic number.

102224864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102224864 is an abundant number, since it is smaller than the sum of its proper divisors (139896736).

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

102224864 is a wasteful number, since it uses less digits than its factorization.

102224864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24055 (or 24047 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 102224864 is about 10110.6312364758. The cubic root of 102224864 is about 467.5759667604.

The spelling of 102224864 in words is "one hundred two million, two hundred twenty-four thousand, eight hundred sixty-four".