91910010100 has 72 divisors (see below), whose sum is σ = 202174169400. Its totient is φ = 36263616000.

The previous prime is 91910010011. The next prime is 91910010119. The reversal of 91910010100 is 101001919.

It can be written as a sum of positive squares in 12 ways, for example, as 13102923024 + 78807087076 = 114468^2 + 280726^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2699986 + ... + 2733814.

It is an arithmetic number, because the mean of its divisors is an integer number (2807974575).

Almost surely, 2^91910010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91910010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101087084700).

91910010100 is an abundant number, since it is smaller than the sum of its proper divisors (110264159300).

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

91910010100 is a wasteful number, since it uses less digits than its factorization.

91910010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34213 (or 34206 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 91910010100 in words is "ninety-one billion, nine hundred ten million, ten thousand, one hundred".