112084200 has 144 divisors (see below), whose sum is σ = 382019820. Its totient is φ = 29445120.

The previous prime is 112084199. The next prime is 112084243. The reversal of 112084200 is 2480211.

It can be written as a sum of positive squares in 6 ways, for example, as 17489124 + 94595076 = 4182^2 + 9726^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 130974 + ... + 131826.

Almost surely, 2^112084200 is an apocalyptic number.

112084200 is a gapful number since it is divisible by the number (10) 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 112084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191009910).

112084200 is an abundant number, since it is smaller than the sum of its proper divisors (269935620).

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

112084200 is a wasteful number, since it uses less digits than its factorization.

112084200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112084200 is about 10586.9825729525. The cubic root of 112084200 is about 482.1492166122.

The spelling of 112084200 in words is "one hundred twelve million, eighty-four thousand, two hundred".