91004788900 has 81 divisors (see below), whose sum is σ = 200180922627. Its totient is φ = 35910796800.

The previous prime is 91004788883. The next prime is 91004788949. The reversal of 91004788900 is 988740019.

It is a happy number.

The square root of 91004788900 is 301670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3346159716 + 87658629184 = 57846^2 + 296072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292619745 + ... + 292620055.

Almost surely, 2^91004788900 is an apocalyptic number.

91004788900 is the 301670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91004788900

91004788900 is an abundant number, since it is smaller than the sum of its proper divisors (109176133727).

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

91004788900 is an equidigital number, since it uses as much as digits as its factorization.

91004788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 91004788900 in words is "ninety-one billion, four million, seven hundred eighty-eight thousand, nine hundred".