102908232 has 160 divisors (see below), whose sum is σ = 336864000. Its totient is φ = 29338848.

The previous prime is 102908219. The next prime is 102908261. The reversal of 102908232 is 232809201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102908196 and 102908205.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222033 + ... + 222495.

It is an arithmetic number, because the mean of its divisors is an integer number (2105400).

Almost surely, 2^102908232 is an apocalyptic number.

102908232 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 102908232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168432000).

102908232 is an abundant number, since it is smaller than the sum of its proper divisors (233955768).

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

102908232 is an equidigital number, since it uses as much as digits as its factorization.

102908232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102908232 is about 10144.3694727667. The cubic root of 102908232 is about 468.6155608060.

The spelling of 102908232 in words is "one hundred two million, nine hundred eight thousand, two hundred thirty-two".