112091040 has 252 divisors, whose sum is σ = 410261922. Its totient is φ = 28926720.

The previous prime is 112091039. The next prime is 112091069. The reversal of 112091040 is 40190211.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 11209104 = 10044^2 + 3348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3615825 + ... + 3615855.

Almost surely, 2^112091040 is an apocalyptic number.

112091040 is a gapful number since it is divisible by the number (10) 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 112091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205130961).

112091040 is an abundant number, since it is smaller than the sum of its proper divisors (298170882).

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

112091040 is an frugal number, since it uses more digits than its factorization.

112091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 112091040 is about 10587.3056062437. The cubic root of 112091040 is about 482.1590242198.

The spelling of 112091040 in words is "one hundred twelve million, ninety-one thousand, forty".