205180 has 12 divisors (see below), whose sum is σ = 430920. Its totient is φ = 82064.

The previous prime is 205171. The next prime is 205187. The reversal of 205180 is 81502.

It is a happy number.

205180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205187) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5110 + ... + 5149.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2²⁰⁵¹⁸⁰ is an apocalyptic number.

205180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205180 is an abundant number, since it is smaller than the sum of its proper divisors (225740).

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

205180 is a wasteful number, since it uses less digits than its factorization.

205180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 205180 is about 452.9679900390. The cubic root of 205180 is about 58.9809380152.

Adding to 205180 its reverse (81502), we get a palindrome (286682).

The spelling of 205180 in words is "two hundred five thousand, one hundred eighty".