102568872 has 64 divisors (see below), whose sum is σ = 297216000. Its totient is φ = 28889280.

The previous prime is 102568861. The next prime is 102568901. The reversal of 102568872 is 278865201.

It is a self number, because there is not a number n which added to its sum of digits gives 102568872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7629 + ... + 16227.

It is an arithmetic number, because the mean of its divisors is an integer number (4644000).

Almost surely, 2^102568872 is an apocalyptic number.

102568872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102568872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148608000).

102568872 is an abundant number, since it is smaller than the sum of its proper divisors (194647128).

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

102568872 is a wasteful number, since it uses less digits than its factorization.

102568872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 102568872 is about 10127.6291401295. The cubic root of 102568872 is about 468.0998764118.

The spelling of 102568872 in words is "one hundred two million, five hundred sixty-eight thousand, eight hundred seventy-two".