112102200 has 432 divisors, whose sum is σ = 463095360. Its totient is φ = 24192000.

The previous prime is 112102187. The next prime is 112102217. The reversal of 112102200 is 2201211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2734180 + ... + 2734220.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^112102200 is an apocalyptic number.

112102200 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 112102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

112102200 is an abundant number, since it is smaller than the sum of its proper divisors (350993160).

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

112102200 is a wasteful number, since it uses less digits than its factorization.

112102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112102200 is about 10587.8326394026. The cubic root of 112102200 is about 482.1750252494.

Adding to 112102200 its reverse (2201211), we get a palindrome (114303411).

The spelling of 112102200 in words is "one hundred twelve million, one hundred two thousand, two hundred".