102412928 has 64 divisors (see below), whose sum is σ = 218116800. Its totient is φ = 47781888.

The previous prime is 102412903. The next prime is 102412939. The reversal of 102412928 is 829214201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 102412928.

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, 126188 + ... + 126996.

It is an arithmetic number, because the mean of its divisors is an integer number (3408075).

Almost surely, 2^102412928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109058400).

102412928 is an abundant number, since it is smaller than the sum of its proper divisors (115703872).

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

102412928 is an equidigital number, since it uses as much as digits as its factorization.

102412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 102412928 is about 10119.9272724659. The cubic root of 102412928 is about 467.8625256717.

The spelling of 102412928 in words is "one hundred two million, four hundred twelve thousand, nine hundred twenty-eight".