91439712100 has 81 divisors (see below), whose sum is σ = 218181973611. Its totient is φ = 33238708800.

The previous prime is 91439712097. The next prime is 91439712131. The reversal of 91439712100 is 121793419.

The square root of 91439712100 is 302390.

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 27029332836 + 64410379264 = 164406^2 + 253792^2 .

It is a super-2 number, since 2×91439712100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91439712100.

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, 33261526 + ... + 33264274.

Almost surely, 2^91439712100 is an apocalyptic number.

91439712100 is the 302390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91439712100

91439712100 is an abundant number, since it is smaller than the sum of its proper divisors (126742261511).

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

91439712100 is a wasteful number, since it uses less digits than its factorization.

91439712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 91439712100 in words is "ninety-one billion, four hundred thirty-nine million, seven hundred twelve thousand, one hundred".