100504320 has 144 divisors (see below), whose sum is σ = 366938880. Its totient is φ = 22966272.

The previous prime is 100504307. The next prime is 100504331. The reversal of 100504320 is 23405001.

It is a super-2 number, since 2×100504320² = 20202236677324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100504320.

It is an unprimeable number.

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, 25011 + ... + 28749.

Almost surely, 2^100504320 is an apocalyptic number.

100504320 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 100504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183469440).

100504320 is an abundant number, since it is smaller than the sum of its proper divisors (266434560).

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

100504320 is an equidigital number, since it uses as much as digits as its factorization.

100504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100504320 is about 10025.1842875829. The cubic root of 100504320 is about 464.9378573448.

Adding to 100504320 its reverse (23405001), we get a palindrome (123909321).

The spelling of 100504320 in words is "one hundred million, five hundred four thousand, three hundred twenty".