205116 has 12 divisors (see below), whose sum is σ = 478632. Its totient is φ = 68368.

The previous prime is 205111. The next prime is 205129. The reversal of 205116 is 611502.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 205095 and 205104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205111) by changing a digit.

205116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8535 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (39886).

2²⁰⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

205116 is an abundant number, since it is smaller than the sum of its proper divisors (273516).

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

205116 is a wasteful number, since it uses less digits than its factorization.

205116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17100 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 205116 is about 452.8973393607. The cubic root of 205116 is about 58.9748049083.

Adding to 205116 its reverse (611502), we get a palindrome (816618).

The spelling of 205116 in words is "two hundred five thousand, one hundred sixteen".