112305408 has 72 divisors (see below), whose sum is σ = 300468000. Its totient is φ = 37238784.

The previous prime is 112305407. The next prime is 112305421. The reversal of 112305408 is 804503211.

It is a super-2 number, since 2×112305408² = 25225009332092928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112305407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267823 + ... + 268241.

Almost surely, 2^112305408 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 112305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150234000).

112305408 is an abundant number, since it is smaller than the sum of its proper divisors (188162592).

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

112305408 is an equidigital number, since it uses as much as digits as its factorization.

112305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 112305408 is about 10597.4245927961. The cubic root of 112305408 is about 482.4661960979.

Adding to 112305408 its reverse (804503211), we get a palindrome (916808619).

The spelling of 112305408 in words is "one hundred twelve million, three hundred five thousand, four hundred eight".