112606200 has 288 divisors, whose sum is σ = 449554560. Its totient is φ = 25660800.

The previous prime is 112606199. The next prime is 112606237. The reversal of 112606200 is 2606211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340035 + ... + 340365.

Almost surely, 2^112606200 is an apocalyptic number.

112606200 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 112606200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224777280).

112606200 is an abundant number, since it is smaller than the sum of its proper divisors (336948360).

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

112606200 is a wasteful number, since it uses less digits than its factorization.

112606200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

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

The square root of 112606200 is about 10611.6068528758. The cubic root of 112606200 is about 482.8965481920.

The spelling of 112606200 in words is "one hundred twelve million, six hundred six thousand, two hundred".