113205180 has 144 divisors (see below), whose sum is σ = 360364032. Its totient is φ = 26505600.

The previous prime is 113205161. The next prime is 113205181. The reversal of 113205180 is 81502311.

113205180 = T₄₈₆ + T₄₈₇ + ... + T₉₂₅.

It is a super-3 number, since 3×113205180³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113205181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224809 + ... + 225311.

It is an arithmetic number, because the mean of its divisors is an integer number (2502528).

Almost surely, 2^113205180 is an apocalyptic number.

113205180 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 113205180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

113205180 is an abundant number, since it is smaller than the sum of its proper divisors (247158852).

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

113205180 is a wasteful number, since it uses less digits than its factorization.

113205180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 113205180 is about 10639.7922912057. The cubic root of 113205180 is about 483.7512495878.

Adding to 113205180 its reverse (81502311), we get a palindrome (194707491).

The spelling of 113205180 in words is "one hundred thirteen million, two hundred five thousand, one hundred eighty".