91916100 has 144 divisors (see below), whose sum is σ = 301022400. Its totient is φ = 24053760.

The previous prime is 91916089. The next prime is 91916101. The reversal of 91916100 is 161919.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91916101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159012 + ... + 159588.

Almost surely, 2^91916100 is an apocalyptic number.

91916100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91916100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150511200).

91916100 is an abundant number, since it is smaller than the sum of its proper divisors (209106300).

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

91916100 is a wasteful number, since it uses less digits than its factorization.

91916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 91916100 is about 9587.2884592047. The cubic root of 91916100 is about 451.2984718869.

The spelling of 91916100 in words is "ninety-one million, nine hundred sixteen thousand, one hundred".