113401600 has 216 divisors, whose sum is σ = 319354560. Its totient is φ = 39567360.

The previous prime is 113401583. The next prime is 113401601. The reversal of 113401600 is 6104311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113401601) by changing a digit.

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, 2412777 + ... + 2412823.

Almost surely, 2^113401600 is an apocalyptic number.

113401600 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 113401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

113401600 is an abundant number, since it is smaller than the sum of its proper divisors (205952960).

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

113401600 is a wasteful number, since it uses less digits than its factorization.

113401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113401600 is about 10649.0187341370. The cubic root of 113401600 is about 484.0308702392.

Adding to 113401600 its reverse (6104311), we get a palindrome (119505911).

The spelling of 113401600 in words is "one hundred thirteen million, four hundred one thousand, six hundred".