100441224 has 48 divisors (see below), whose sum is σ = 292956300. Its totient is φ = 30904704.

The previous prime is 100441223. The next prime is 100441247. The reversal of 100441224 is 422144001.

100441224 is a `hidden beast` number, since 1 + 0 + 0 + 441 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86825124 + 13616100 = 9318^2 + 3690^2 .

It is a super-4 number, since 4×100441224⁴ (a number of 33 digits) contains 4444 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 = 100441197 and 100441206.

It is not an unprimeable number, because it can be changed into a prime (100441223) 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, 52719 + ... + 54590.

Almost surely, 2^100441224 is an apocalyptic number.

It is an amenable number.

100441224 is an abundant number, since it is smaller than the sum of its proper divisors (192515076).

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

100441224 is a wasteful number, since it uses less digits than its factorization.

100441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107334 (or 107327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100441224 is about 10022.0369187107. The cubic root of 100441224 is about 464.8405419256.

Adding to 100441224 its reverse (422144001), we get a palindrome (522585225).

The spelling of 100441224 in words is "one hundred million, four hundred forty-one thousand, two hundred twenty-four".