113105808 has 70 divisors (see below), whose sum is σ = 328597334. Its totient is φ = 37698048.

The previous prime is 113105779. The next prime is 113105821. The reversal of 113105808 is 808501311.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 36578304 = 8748^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6816 + ... + 16512.

Almost surely, 2^113105808 is an apocalyptic number.

113105808 is a gapful number since it is divisible by the number (18) 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 113105808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164298667).

113105808 is an abundant number, since it is smaller than the sum of its proper divisors (215491526).

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

113105808 is an frugal number, since it uses more digits than its factorization.

113105808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 113105808 is about 10635.1214379526. The cubic root of 113105808 is about 483.6096618331.

The spelling of 113105808 in words is "one hundred thirteen million, one hundred five thousand, eight hundred eight".