112380300 has 216 divisors, whose sum is σ = 377788320. Its totient is φ = 27878400.

The previous prime is 112380287. The next prime is 112380311. The reversal of 112380300 is 3083211.

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 71 ways as a sum of consecutive naturals, for example, 1262656 + ... + 1262744.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 2^112380300 is an apocalyptic number.

112380300 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 112380300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

112380300 is an abundant number, since it is smaller than the sum of its proper divisors (265408020).

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

112380300 is a wasteful number, since it uses less digits than its factorization.

112380300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 112380300 is about 10600.9575039239. The cubic root of 112380300 is about 482.5734180923.

The spelling of 112380300 in words is "one hundred twelve million, three hundred eighty thousand, three hundred".