113217600 has 168 divisors, whose sum is σ = 376692160. Its totient is φ = 29767680.

The previous prime is 113217583. The next prime is 113217613. The reversal of 113217600 is 6712311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494286 + ... + 494514.

Almost surely, 2^113217600 is an apocalyptic number.

113217600 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 113217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188346080).

113217600 is an abundant number, since it is smaller than the sum of its proper divisors (263474560).

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

113217600 is a wasteful number, since it uses less digits than its factorization.

113217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 113217600 is about 10640.3759332084. The cubic root of 113217600 is about 483.7689400940.

Adding to 113217600 its reverse (6712311), we get a palindrome (119929911).

The spelling of 113217600 in words is "one hundred thirteen million, two hundred seventeen thousand, six hundred".