112435200 has 252 divisors, whose sum is σ = 409345638. Its totient is φ = 29491200.

The previous prime is 112435177. The next prime is 112435223. The reversal of 112435200 is 2534211.

It is an interprime number because it is at equal distance from previous prime (112435177) and next prime (112435223).

It can be written as a sum of positive squares in 3 ways, for example, as 50466816 + 61968384 = 7104^2 + 7872^2 .

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 17 ways as a sum of consecutive naturals, for example, 1843170 + ... + 1843230.

Almost surely, 2^112435200 is an apocalyptic number.

112435200 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 112435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204672819).

112435200 is an abundant number, since it is smaller than the sum of its proper divisors (296910438).

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

112435200 is an equidigital number, since it uses as much as digits as its factorization.

112435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112435200 is about 10603.5465764998. The cubic root of 112435200 is about 482.6519875203.

Adding to 112435200 its reverse (2534211), we get a palindrome (114969411).

The spelling of 112435200 in words is "one hundred twelve million, four hundred thirty-five thousand, two hundred".