205900 has 36 divisors (see below), whose sum is σ = 468720. Its totient is φ = 78400.

The previous prime is 205883. The next prime is 205913. The reversal of 205900 is 9502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2865 + ... + 2935.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2²⁰⁵⁹⁰⁰ is an apocalyptic number.

205900 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 205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

205900 is an abundant number, since it is smaller than the sum of its proper divisors (262820).

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

205900 is a wasteful number, since it uses less digits than its factorization.

205900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 205900 is about 453.7620521815. The cubic root of 205900 is about 59.0498477513.

The spelling of 205900 in words is "two hundred five thousand, nine hundred".