90910100 has 36 divisors (see below), whose sum is σ = 199250268. Its totient is φ = 36000000.

The previous prime is 90910097. The next prime is 90910111. The reversal of 90910100 is 101909.

It can be written as a sum of positive squares in 6 ways, for example, as 51076 + 90859024 = 226^2 + 9532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5600 + ... + 14600.

Almost surely, 2^90910100 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 90910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99625134).

90910100 is an abundant number, since it is smaller than the sum of its proper divisors (108340168).

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

90910100 is a wasteful number, since it uses less digits than its factorization.

90910100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 90910100 is about 9534.6788094828. The cubic root of 90910100 is about 449.6459767004.

It can be divided in two parts, 909 and 10100, that multiplied together give a square (9180900 = 3030²).

The spelling of 90910100 in words is "ninety million, nine hundred ten thousand, one hundred".