113301760 has 144 divisors (see below), whose sum is σ = 319354560. Its totient is φ = 37969920.

The previous prime is 113301739. The next prime is 113301761. The reversal of 113301760 is 67103311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (113301761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182731 + ... + 183349.

It is an arithmetic number, because the mean of its divisors is an integer number (2217740).

Almost surely, 2^113301760 is an apocalyptic number.

113301760 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 113301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

113301760 is an abundant number, since it is smaller than the sum of its proper divisors (206052800).

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

113301760 is a wasteful number, since it uses less digits than its factorization.

113301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 113301760 is about 10644.3299460323. The cubic root of 113301760 is about 483.8887798537. Note that the first 3 decimals are identical.

The spelling of 113301760 in words is "one hundred thirteen million, three hundred one thousand, seven hundred sixty".