100492032 has 144 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 30621696.

The previous prime is 100492031. The next prime is 100492039. The reversal of 100492032 is 230294001.

It is not an unprimeable number, because it can be changed into a prime (100492031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561319 + ... + 561497.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 2^100492032 is an apocalyptic number.

100492032 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 100492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

100492032 is an abundant number, since it is smaller than the sum of its proper divisors (190900608).

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

100492032 is a wasteful number, since it uses less digits than its factorization.

100492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 100492032 is about 10024.5714122849. The cubic root of 100492032 is about 464.9189082779.

The spelling of 100492032 in words is "one hundred million, four hundred ninety-two thousand, thirty-two".