100306224 has 60 divisors (see below), whose sum is σ = 281513232. Its totient is φ = 33340800.

The previous prime is 100306211. The next prime is 100306253. The reversal of 100306224 is 422603001.

It is a happy number.

100306224 is a `hidden beast` number, since 10 + 0 + 30 + 622 + 4 = 666.

It is a super-2 number, since 2×100306224² = 20122677146276352, which contains 22 as substring.

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 = 100306197 and 100306206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65629 + ... + 67139.

Almost surely, 2^100306224 is an apocalyptic number.

It is an amenable number.

100306224 is an abundant number, since it is smaller than the sum of its proper divisors (181207008).

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

100306224 is a wasteful number, since it uses less digits than its factorization.

100306224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100306224 is about 10015.2994962707. The cubic root of 100306224 is about 464.6321891972.

Adding to 100306224 its reverse (422603001), we get a palindrome (522909225).

The spelling of 100306224 in words is "one hundred million, three hundred six thousand, two hundred twenty-four".