91968100 has 81 divisors (see below), whose sum is σ = 233860683. Its totient is φ = 31301760.

The previous prime is 91968089. The next prime is 91968109. The reversal of 91968100 is 186919.

The square root of 91968100 is 9590.

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 268324 + 91699776 = 518^2 + 9576^2 .

It is a super-3 number, since 3×91968100³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (91968109) 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, 671232 + ... + 671368.

Almost surely, 2^91968100 is an apocalyptic number.

91968100 is the 9590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91968100

91968100 is an abundant number, since it is smaller than the sum of its proper divisors (141892583).

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

91968100 is a wasteful number, since it uses less digits than its factorization.

91968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The cubic root of 91968100 is about 451.3835607033.

The spelling of 91968100 in words is "ninety-one million, nine hundred sixty-eight thousand, one hundred".