113841600 has 168 divisors, whose sum is σ = 384188208. Its totient is φ = 29491200.

The previous prime is 113841599. The next prime is 113841619. The reversal of 113841600 is 6148311.

It is a super-3 number, since 3×113841600³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177280 + ... + 177920.

Almost surely, 2^113841600 is an apocalyptic number.

113841600 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 113841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192094104).

113841600 is an abundant number, since it is smaller than the sum of its proper divisors (270346608).

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

113841600 is a wasteful number, since it uses less digits than its factorization.

113841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 113841600 is about 10669.6579139165. The cubic root of 113841600 is about 484.6560781380.

Adding to 113841600 its reverse (6148311), we get a palindrome (119989911).

The spelling of 113841600 in words is "one hundred thirteen million, eight hundred forty-one thousand, six hundred".