113643600 has 240 divisors, whose sum is σ = 423639552. Its totient is φ = 25505280.

The previous prime is 113643599. The next prime is 113643619. The reversal of 113643600 is 6346311.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697119 + ... + 697281.

Almost surely, 2^113643600 is an apocalyptic number.

113643600 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 113643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211819776).

113643600 is an abundant number, since it is smaller than the sum of its proper divisors (309995952).

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

113643600 is a wasteful number, since it uses less digits than its factorization.

113643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 113643600 is about 10660.3752279176. The cubic root of 113643600 is about 484.3749343045.

Adding to 113643600 its reverse (6346311), we get a palindrome (119989911).

The spelling of 113643600 in words is "one hundred thirteen million, six hundred forty-three thousand, six hundred".