205112580 has 96 divisors (see below), whose sum is σ = 593961984. Its totient is φ = 52854144.

The previous prime is 205112569. The next prime is 205112617. The reversal of 205112580 is 85211502.

It is a self number, because there is not a number n which added to its sum of digits gives 205112580.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275689 + ... + 276431.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^205112580 is an apocalyptic number.

205112580 is a gapful number since it is divisible by the number (20) 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 205112580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

205112580 is an abundant number, since it is smaller than the sum of its proper divisors (388849404).

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

205112580 is a wasteful number, since it uses less digits than its factorization.

205112580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 205112580 is about 14321.7519877981. The cubic root of 205112580 is about 589.7447713453.

The spelling of 205112580 in words is "two hundred five million, one hundred twelve thousand, five hundred eighty".