91919100100 has 36 divisors (see below), whose sum is σ = 201439364868. Its totient is φ = 36403600000.

The previous prime is 91919099983. The next prime is 91919100131. The reversal of 91919100100 is 100191919.

It can be written as a sum of positive squares in 6 ways, for example, as 14639548036 + 77279552064 = 120994^2 + 277992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4540351 + ... + 4560550.

It is an arithmetic number, because the mean of its divisors is an integer number (5595537913).

Almost surely, 2^91919100100 is an apocalyptic number.

It is an amenable number.

91919100100 is an abundant number, since it is smaller than the sum of its proper divisors (109520264768).

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

91919100100 is a wasteful number, since it uses less digits than its factorization.

91919100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101016 (or 9101009 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 91919100100 in words is "ninety-one billion, nine hundred nineteen million, one hundred thousand, one hundred".