100044320 has 48 divisors (see below), whose sum is σ = 250264728. Its totient is φ = 37662720.

The previous prime is 100044317. The next prime is 100044361. The reversal of 100044320 is 23440001.

It can be written as a sum of positive squares in 4 ways, for example, as 61653904 + 38390416 = 7852^2 + 6196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100044295 and 100044304.

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 7 ways as a sum of consecutive naturals, for example, 15671 + ... + 21110.

Almost surely, 2^100044320 is an apocalyptic number.

100044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100044320 is an abundant number, since it is smaller than the sum of its proper divisors (150220408).

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

100044320 is a wasteful number, since it uses less digits than its factorization.

100044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36813 (or 36805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100044320 is about 10002.2157545216. The cubic root of 100044320 is about 464.2274449725.

Adding to 100044320 its reverse (23440001), we get a palindrome (123484321).

The spelling of 100044320 in words is "one hundred million, forty-four thousand, three hundred twenty".