100332320 has 96 divisors (see below), whose sum is σ = 261455040. Its totient is φ = 36080640.

The previous prime is 100332319. The next prime is 100332329. The reversal of 100332320 is 23233001.

It is a junction number, because it is equal to n+sod(n) for n = 100332295 and 100332304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191579 + ... + 192101.

It is an arithmetic number, because the mean of its divisors is an integer number (2723490).

Almost surely, 2^100332320 is an apocalyptic number.

100332320 is a gapful number since it is divisible by the number (10) 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 100332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130727520).

100332320 is an abundant number, since it is smaller than the sum of its proper divisors (161122720).

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

100332320 is a wasteful number, since it uses less digits than its factorization.

100332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 100332320 is about 10016.6022183173. The cubic root of 100332320 is about 464.6724791206.

Adding to 100332320 its reverse (23233001), we get a palindrome (123565321).

The spelling of 100332320 in words is "one hundred million, three hundred thirty-two thousand, three hundred twenty".