113004320 has 144 divisors (see below), whose sum is σ = 316726200. Its totient is φ = 37847040.

The previous prime is 113004319. The next prime is 113004337. The reversal of 113004320 is 23400311.

It can be written as a sum of positive squares in 4 ways, for example, as 76667536 + 36336784 = 8756^2 + 6028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113004295 and 113004304.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 251456 + ... + 251904.

Almost surely, 2^113004320 is an apocalyptic number.

113004320 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 113004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158363100).

113004320 is an abundant number, since it is smaller than the sum of its proper divisors (203721880).

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

113004320 is a wasteful number, since it uses less digits than its factorization.

113004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 113004320 is about 10630.3490065002. The cubic root of 113004320 is about 483.4649735237.

Adding to 113004320 its reverse (23400311), we get a palindrome (136404631).

The spelling of 113004320 in words is "one hundred thirteen million, four thousand, three hundred twenty".