113810400 has 288 divisors, whose sum is σ = 449971200. Its totient is φ = 27532800.

The previous prime is 113810387. The next prime is 113810429. The reversal of 113810400 is 4018311.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237361 + ... + 237839.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^113810400 is an apocalyptic number.

113810400 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 113810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

113810400 is an abundant number, since it is smaller than the sum of its proper divisors (336160800).

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

113810400 is a wasteful number, since it uses less digits than its factorization.

113810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 113810400 is about 10668.1957237389. The cubic root of 113810400 is about 484.6117983338.

Adding to 113810400 its reverse (4018311), we get a palindrome (117828711).

The spelling of 113810400 in words is "one hundred thirteen million, eight hundred ten thousand, four hundred".