113209600 has 243 divisors, whose sum is σ = 344018997. Its totient is φ = 36771840.

The previous prime is 113209597. The next prime is 113209601. The reversal of 113209600 is 6902311.

The square root of 113209600 is 10640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 72454144 = 6384^2 + 8512^2 .

It is not an unprimeable number, because it can be changed into a prime (113209601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5958391 + ... + 5958409.

Almost surely, 2^113209600 is an apocalyptic number.

113209600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113209600 is the 10640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113209600

113209600 is an abundant number, since it is smaller than the sum of its proper divisors (230809397).

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

113209600 is an equidigital number, since it uses as much as digits as its factorization.

113209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The cubic root of 113209600 is about 483.7575453913.

Multiplying 113209600 by its product of nonzero digits (324), we get a square (36679910400 = 191520²).

The spelling of 113209600 in words is "one hundred thirteen million, two hundred nine thousand, six hundred".