112631400 has 216 divisors, whose sum is σ = 440354070. Its totient is φ = 25724160.

The previous prime is 112631381. The next prime is 112631417. The reversal of 112631400 is 4136211.

It is a happy number.

112631400 is a `hidden beast` number, since 1 + 1 + 263 + 1 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 90897156 + 21734244 = 9534^2 + 4662^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87562 + ... + 88838.

Almost surely, 2^112631400 is an apocalyptic number.

112631400 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 112631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220177035).

112631400 is an abundant number, since it is smaller than the sum of its proper divisors (327722670).

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

112631400 is a wasteful number, since it uses less digits than its factorization.

112631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1294 counting only the distinct ones).

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

The square root of 112631400 is about 10612.7941655344. The cubic root of 112631400 is about 482.9325677758.

Adding to 112631400 its reverse (4136211), we get a palindrome (116767611).

The spelling of 112631400 in words is "one hundred twelve million, six hundred thirty-one thousand, four hundred".