89010900 has 288 divisors, whose sum is σ = 324562560. Its totient is φ = 20995200.

The previous prime is 89010869. The next prime is 89010917. The reversal of 89010900 is 901098.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2405682 + ... + 2405718.

Almost surely, 2^89010900 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 89010900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162281280).

89010900 is an abundant number, since it is smaller than the sum of its proper divisors (235551660).

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

89010900 is a wasteful number, since it uses less digits than its factorization.

89010900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 89010900 is about 9434.5588132143. The cubic root of 89010900 is about 446.4927356764.

Adding to 89010900 its reverse (901098), we get a palindrome (89911998).

The spelling of 89010900 in words is "eighty-nine million, ten thousand, nine hundred".