89910900 has 54 divisors (see below), whose sum is σ = 281823542. Its totient is φ = 23976000.

The previous prime is 89910883. The next prime is 89910901. The reversal of 89910900 is 901998.

It can be written as a sum of positive squares in 3 ways, for example, as 25462116 + 64448784 = 5046^2 + 8028^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89910901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49051 + ... + 50850.

Almost surely, 2^89910900 is an apocalyptic number.

It is an amenable number.

89910900 is an abundant number, since it is smaller than the sum of its proper divisors (191912642).

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

89910900 is a wasteful number, since it uses less digits than its factorization.

89910900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99921 (or 99911 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 89910900 is about 9482.1358353485. The cubic root of 89910900 is about 447.9925394697.

The spelling of 89910900 in words is "eighty-nine million, nine hundred ten thousand, nine hundred".