100492392 has 256 divisors, whose sum is σ = 348364800. Its totient is φ = 23316480.

The previous prime is 100492363. The next prime is 100492409. The reversal of 100492392 is 293294001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129084 + ... + 1129172.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^100492392 is an apocalyptic number.

100492392 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 100492392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

100492392 is an abundant number, since it is smaller than the sum of its proper divisors (247872408).

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

100492392 is a wasteful number, since it uses less digits than its factorization.

100492392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 100492392 is about 10024.5893681487. The cubic root of 100492392 is about 464.9194634484.

The spelling of 100492392 in words is "one hundred million, four hundred ninety-two thousand, three hundred ninety-two".