112071600 has 180 divisors, whose sum is σ = 403673816. Its totient is φ = 29859840.

The previous prime is 112071581. The next prime is 112071607. The reversal of 112071600 is 6170211.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (112071607) by changing a digit.

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, 96624 + ... + 97776.

Almost surely, 2^112071600 is an apocalyptic number.

112071600 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 112071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201836908).

112071600 is an abundant number, since it is smaller than the sum of its proper divisors (291602216).

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

112071600 is a wasteful number, since it uses less digits than its factorization.

112071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 112071600 is about 10586.3874858235. The cubic root of 112071600 is about 482.1311489220.

The spelling of 112071600 in words is "one hundred twelve million, seventy-one thousand, six hundred".