100120224 has 96 divisors (see below), whose sum is σ = 274409856. Its totient is φ = 31933440.

The previous prime is 100120213. The next prime is 100120231. The reversal of 100120224 is 422021001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251994 + ... + 252390.

It is an arithmetic number, because the mean of its divisors is an integer number (2858436).

Almost surely, 2^100120224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137204928).

100120224 is an abundant number, since it is smaller than the sum of its proper divisors (174289632).

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

100120224 is a wasteful number, since it uses less digits than its factorization.

100120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100120224 is about 10006.0093943590. The cubic root of 100120224 is about 464.3448189934.

Adding to 100120224 its reverse (422021001), we get a palindrome (522141225).

The spelling of 100120224 in words is "one hundred million, one hundred twenty thousand, two hundred twenty-four".