91112112 has 240 divisors, whose sum is σ = 333103680. Its totient is φ = 22560768.

The previous prime is 91112111. The next prime is 91112143. The reversal of 91112112 is 21121119.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (91112111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222564 + ... + 222972.

It is an arithmetic number, because the mean of its divisors is an integer number (1387932).

Almost surely, 2^91112112 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 91112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

91112112 is an abundant number, since it is smaller than the sum of its proper divisors (241991568).

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

91112112 is a wasteful number, since it uses less digits than its factorization.

91112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

The square root of 91112112 is about 9545.2664708745. The cubic root of 91112112 is about 449.9787841850.

The spelling of 91112112 in words is "ninety-one million, one hundred twelve thousand, one hundred twelve".