89100900 has 108 divisors (see below), whose sum is σ = 319201792. Its totient is φ = 20364480.

The previous prime is 89100889. The next prime is 89100901. The reversal of 89100900 is 900198.

It is not an unprimeable number, because it can be changed into a prime (89100901) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 772 + ... + 13371.

Almost surely, 2^89100900 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 89100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600896).

89100900 is an abundant number, since it is smaller than the sum of its proper divisors (230100892).

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

89100900 is a wasteful number, since it uses less digits than its factorization.

89100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170 (or 14160 counting only the distinct ones).

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

The square root of 89100900 is about 9439.3273065404. The cubic root of 89100900 is about 446.6431697251.

It can be divided in two parts, 89100 and 900, that added together give a square (90000 = 300²).

The spelling of 89100900 in words is "eighty-nine million, one hundred thousand, nine hundred".