112036896 has 72 divisors (see below), whose sum is σ = 323029980. Its totient is φ = 36834048.

The previous prime is 112036877. The next prime is 112036937. The reversal of 112036896 is 698630211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 102819600 + 9217296 = 10140^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112036896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534716 + ... + 1534788.

Almost surely, 2^112036896 is an apocalyptic number.

112036896 is a gapful number since it is divisible by the number (16) 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 112036896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161514990).

112036896 is an abundant number, since it is smaller than the sum of its proper divisors (210993084).

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

112036896 is an frugal number, since it uses more digits than its factorization.

112036896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 112036896 is about 10584.7482728688. The cubic root of 112036896 is about 482.0813783386.

112036896 divided by its sum of digits (36) gives a cube (3112136 = 146³).

The spelling of 112036896 in words is "one hundred twelve million, thirty-six thousand, eight hundred ninety-six".