102912432 has 80 divisors (see below), whose sum is σ = 309623040. Its totient is φ = 28843776.

The previous prime is 102912349. The next prime is 102912443. The reversal of 102912432 is 234219201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14919 + ... + 20697.

It is an arithmetic number, because the mean of its divisors is an integer number (3870288).

Almost surely, 2^102912432 is an apocalyptic number.

102912432 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 102912432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

102912432 is an abundant number, since it is smaller than the sum of its proper divisors (206710608).

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

102912432 is a wasteful number, since it uses less digits than its factorization.

102912432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102912432 is about 10144.5764820420. The cubic root of 102912432 is about 468.6219359312.

The spelling of 102912432 in words is "one hundred two million, nine hundred twelve thousand, four hundred thirty-two".