113085220 has 24 divisors (see below), whose sum is σ = 237876408. Its totient is φ = 45158400.

The previous prime is 113085191. The next prime is 113085223. The reversal of 113085220 is 22580311.

It can be written as a sum of positive squares in 4 ways, for example, as 38539264 + 74545956 = 6208^2 + 8634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113085191 and 113085200.

It is not an unprimeable number, because it can be changed into a prime (113085223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8410 + ... + 17230.

It is an arithmetic number, because the mean of its divisors is an integer number (9911517).

Almost surely, 2^113085220 is an apocalyptic number.

113085220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113085220 is an abundant number, since it is smaller than the sum of its proper divisors (124791188).

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

113085220 is a wasteful number, since it uses less digits than its factorization.

113085220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 113085220 is about 10634.1534688945. The cubic root of 113085220 is about 483.5803171570.

The spelling of 113085220 in words is "one hundred thirteen million, eighty-five thousand, two hundred twenty".