100090224 has 120 divisors (see below), whose sum is σ = 304758272. Its totient is φ = 30481920.

The previous prime is 100090219. The next prime is 100090229. The reversal of 100090224 is 422090001.

It is an interprime number because it is at equal distance from previous prime (100090219) and next prime (100090229).

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 = 100090197 and 100090206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237534 + ... + 237954.

Almost surely, 2^100090224 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 100090224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152379136).

100090224 is an abundant number, since it is smaller than the sum of its proper divisors (204668048).

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

100090224 is a wasteful number, since it uses less digits than its factorization.

100090224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100090224 is about 10004.5101829125. The cubic root of 100090224 is about 464.2984356368.

The spelling of 100090224 in words is "one hundred million, ninety thousand, two hundred twenty-four".