112058784 has 72 divisors (see below), whose sum is σ = 329680260. Its totient is φ = 36062208.

The previous prime is 112058753. The next prime is 112058797. The reversal of 112058784 is 487850211.

It can be written as a sum of positive squares in 2 ways, for example, as 111767184 + 291600 = 10572^2 + 540^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644 + ... + 15060.

Almost surely, 2^112058784 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 112058784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164840130).

112058784 is an abundant number, since it is smaller than the sum of its proper divisors (217621476).

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

112058784 is a wasteful number, since it uses less digits than its factorization.

112058784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 112058784 is about 10585.7821628824. The cubic root of 112058784 is about 482.1127701108.

The spelling of 112058784 in words is "one hundred twelve million, fifty-eight thousand, seven hundred eighty-four".