113432400 has 210 divisors, whose sum is σ = 409645470. Its totient is φ = 30170880.

The previous prime is 113432357. The next prime is 113432401. The reversal of 113432400 is 4234311.

It can be written as a sum of positive squares in 3 ways, for example, as 1411344 + 112021056 = 1188^2 + 10584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113432401) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 291406 + ... + 291794.

Almost surely, 2^113432400 is an apocalyptic number.

113432400 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 113432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204822735).

113432400 is an abundant number, since it is smaller than the sum of its proper divisors (296213070).

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

113432400 is an equidigital number, since it uses as much as digits as its factorization.

113432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113432400 is about 10650.4647785907. The cubic root of 113432400 is about 484.0746873791.

Adding to 113432400 its reverse (4234311), we get a palindrome (117666711).

The spelling of 113432400 in words is "one hundred thirteen million, four hundred thirty-two thousand, four hundred".