100888224 has 48 divisors (see below), whose sum is σ = 266212800. Its totient is φ = 33454080.

The previous prime is 100888223. The next prime is 100888247. The reversal of 100888224 is 422888001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (100888223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16464 + ... + 21744.

It is an arithmetic number, because the mean of its divisors is an integer number (5546100).

Almost surely, 2^100888224 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 100888224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133106400).

100888224 is an abundant number, since it is smaller than the sum of its proper divisors (165324576).

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

100888224 is a wasteful number, since it uses less digits than its factorization.

100888224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 100888224 is about 10044.3130178226. The cubic root of 100888224 is about 465.5290913614.

The spelling of 100888224 in words is "one hundred million, eight hundred eighty-eight thousand, two hundred twenty-four".