91887796900 has 27 divisors (see below), whose sum is σ = 199403097411. Its totient is φ = 36753906240.

The previous prime is 91887796873. The next prime is 91887796907. The reversal of 91887796900 is 969778819.

The square root of 91887796900 is 303130.

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 9766578276 + 82121218624 = 98826^2 + 286568^2 .

It is a super-2 number, since 2×91887796900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91887796907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3016144 + ... + 3046456.

Almost surely, 2^91887796900 is an apocalyptic number.

91887796900 is the 303130-th square number.

It is an amenable number.

91887796900 is an abundant number, since it is smaller than the sum of its proper divisors (107515300511).

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

91887796900 is an frugal number, since it uses more digits than its factorization.

91887796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60640 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 64.

Multiplying 91887796900 by its sum of digits (64), we get a square (5880819001600 = 2425040²).

The spelling of 91887796900 in words is "ninety-one billion, eight hundred eighty-seven million, seven hundred ninety-six thousand, nine hundred".