112954176 has 126 divisors (see below), whose sum is σ = 337447890. Its totient is φ = 37511424.

The previous prime is 112954169. The next prime is 112954187. The reversal of 112954176 is 671459211.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 41990400 = 8424^2 + 6480^2 .

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 112954176.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 419770 + ... + 420038.

Almost surely, 2^112954176 is an apocalyptic number.

112954176 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 112954176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168723945).

112954176 is an abundant number, since it is smaller than the sum of its proper divisors (224493714).

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

112954176 is an frugal number, since it uses more digits than its factorization.

112954176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 112954176 is about 10627.9902145232. The cubic root of 112954176 is about 483.3934527939.

The spelling of 112954176 in words is "one hundred twelve million, nine hundred fifty-four thousand, one hundred seventy-six".