112066800 has 120 divisors (see below), whose sum is σ = 366809856. Its totient is φ = 29233920.

The previous prime is 112066789. The next prime is 112066811. The reversal of 112066800 is 8660211.

It is an interprime number because it is at equal distance from previous prime (112066789) and next prime (112066811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 55407 + ... + 57393.

Almost surely, 2^112066800 is an apocalyptic number.

112066800 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 112066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183404928).

112066800 is an abundant number, since it is smaller than the sum of its proper divisors (254743056).

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

112066800 is a wasteful number, since it uses less digits than its factorization.

112066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 112066800 is about 10586.1607771656. The cubic root of 112066800 is about 482.1242656362.

The spelling of 112066800 in words is "one hundred twelve million, sixty-six thousand, eight hundred".