91875672100 has 81 divisors (see below), whose sum is σ = 211906578387. Its totient is φ = 34569089280.

The previous prime is 91875672061. The next prime is 91875672107. The reversal of 91875672100 is 127657819.

It is a happy number.

The square root of 91875672100 is 303110.

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 2149064164 + 89726607936 = 46358^2 + 299544^2 .

It is a super-2 number, since 2×91875672100² (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 (91875672107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51527809 + ... + 51529591.

Almost surely, 2^91875672100 is an apocalyptic number.

91875672100 is the 303110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91875672100

91875672100 is an abundant number, since it is smaller than the sum of its proper divisors (120030906287).

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

91875672100 is a wasteful number, since it uses less digits than its factorization.

91875672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 91875672100 in words is "ninety-one billion, eight hundred seventy-five million, six hundred seventy-two thousand, one hundred".