112306824 has 192 divisors, whose sum is σ = 370180800. Its totient is φ = 31842720.

The previous prime is 112306823. The next prime is 112306847. The reversal of 112306824 is 428603211.

It is a super-2 number, since 2×112306824² = 25225645433933952, which contains 22 as substring.

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 (112306823) 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, 857239 + ... + 857369.

It is an arithmetic number, because the mean of its divisors is an integer number (1928025).

Almost surely, 2^112306824 is an apocalyptic number.

112306824 is a gapful number since it is divisible by the number (14) 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 112306824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185090400).

112306824 is an abundant number, since it is smaller than the sum of its proper divisors (257873976).

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

112306824 is an equidigital number, since it uses as much as digits as its factorization.

112306824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112306824 is about 10597.4914012704. The cubic root of 112306824 is about 482.4682238105.

It can be divided in two parts, 112 and 306824, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 112306824 in words is "one hundred twelve million, three hundred six thousand, eight hundred twenty-four".