100504224 has 72 divisors (see below), whose sum is σ = 300867840. Its totient is φ = 31736448.

The previous prime is 100504223. The next prime is 100504237. The reversal of 100504224 is 422405001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100504197 and 100504206.

It is not an unprimeable number, because it can be changed into a prime (100504223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3712 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (4178720).

Almost surely, 2^100504224 is an apocalyptic number.

It is an amenable number.

100504224 is an abundant number, since it is smaller than the sum of its proper divisors (200363616).

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

100504224 is a wasteful number, since it uses less digits than its factorization.

100504224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18402 (or 18391 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 100504224 is about 10025.1794996399. The cubic root of 100504224 is about 464.9377093112.

Adding to 100504224 its reverse (422405001), we get a palindrome (522909225).

The spelling of 100504224 in words is "one hundred million, five hundred four thousand, two hundred twenty-four".