90125100 has 108 divisors (see below), whose sum is σ = 304261776. Its totient is φ = 22181760.

The previous prime is 90125089. The next prime is 90125107. The reversal of 90125100 is 152109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (90125107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7849 + ... + 15551.

Almost surely, 2^90125100 is an apocalyptic number.

90125100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152130888).

90125100 is an abundant number, since it is smaller than the sum of its proper divisors (214136676).

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

90125100 is a wasteful number, since it uses less digits than its factorization.

90125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 90125100 is about 9493.4240398288. The cubic root of 90125100 is about 448.3480169441.

Adding to 90125100 its reverse (152109), we get a palindrome (90277209).

The spelling of 90125100 in words is "ninety million, one hundred twenty-five thousand, one hundred".