100456320 has 64 divisors (see below), whose sum is σ = 320210640. Its totient is φ = 26787840.

The previous prime is 100456313. The next prime is 100456327. The reversal of 100456320 is 23654001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100456313) and next prime (100456327).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100456327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24241 + ... + 28080.

Almost surely, 2^100456320 is an apocalyptic number.

100456320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100456320 is an abundant number, since it is smaller than the sum of its proper divisors (219754320).

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

100456320 is an equidigital number, since it uses as much as digits as its factorization.

100456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52343 (or 52331 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 100456320 is about 10022.7900307250. The cubic root of 100456320 is about 464.8638287827.

The spelling of 100456320 in words is "one hundred million, four hundred fifty-six thousand, three hundred twenty".