205865104 has 45 divisors (see below), whose sum is σ = 425723961. Its totient is φ = 96418560.

The previous prime is 205865089. The next prime is 205865117. The reversal of 205865104 is 401568502.

The square root of 205865104 is 14348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 160275600 + 45589504 = 12660^2 + 6752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 975559 + ... + 975769.

Almost surely, 2^205865104 is an apocalyptic number.

205865104 is the 14348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205865104

205865104 is an abundant number, since it is smaller than the sum of its proper divisors (219858857).

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

205865104 is an equidigital number, since it uses as much as digits as its factorization.

205865104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The cubic root of 205865104 is about 590.4651163359.

The spelling of 205865104 in words is "two hundred five million, eight hundred sixty-five thousand, one hundred four".