91250900 has 72 divisors (see below), whose sum is σ = 225844920. Its totient is φ = 31703040.

The previous prime is 91250891. The next prime is 91250927. The reversal of 91250900 is 905219.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25381444 + 65869456 = 5038^2 + 8116^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 91250900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20036 + ... + 24164.

It is an arithmetic number, because the mean of its divisors is an integer number (3136735).

Almost surely, 2^91250900 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 91250900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112922460).

91250900 is an abundant number, since it is smaller than the sum of its proper divisors (134594020).

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

91250900 is a wasteful number, since it uses less digits than its factorization.

91250900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 91250900 is about 9552.5336953083. The cubic root of 91250900 is about 450.2071474280.

The spelling of 91250900 in words is "ninety-one million, two hundred fifty thousand, nine hundred".