113220900 has 108 divisors (see below), whose sum is σ = 382222932. Its totient is φ = 27866880.

The previous prime is 113220893. The next prime is 113220911. The reversal of 113220900 is 9022311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6594624 + 106626276 = 2568^2 + 10326^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6862 + ... + 16538.

Almost surely, 2^113220900 is an apocalyptic number.

113220900 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 113220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191111466).

113220900 is an abundant number, since it is smaller than the sum of its proper divisors (269002032).

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

113220900 is a wasteful number, since it uses less digits than its factorization.

113220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9710 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113220900 is about 10640.5310017875. The cubic root of 113220900 is about 483.7736402525.

The spelling of 113220900 in words is "one hundred thirteen million, two hundred twenty thousand, nine hundred".