112243968 has 90 divisors (see below), whose sum is σ = 334753034. Its totient is φ = 37407744.

The previous prime is 112243921. The next prime is 112243987. The reversal of 112243968 is 869342211.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 29942784 = 9072^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18030 + ... + 23442.

Almost surely, 2^112243968 is an apocalyptic number.

112243968 is a gapful number since it is divisible by the number (18) 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 112243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167376517).

112243968 is an abundant number, since it is smaller than the sum of its proper divisors (222509066).

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

112243968 is an frugal number, since it uses more digits than its factorization.

112243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5418 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 112243968 is about 10594.5253787039. The cubic root of 112243968 is about 482.3781975741.

The spelling of 112243968 in words is "one hundred twelve million, two hundred forty-three thousand, nine hundred sixty-eight".