205870912900 has 135 divisors (see below), whose sum is σ = 477703363179. Its totient is φ = 77010685440.

The previous prime is 205870912853. The next prime is 205870912901. The reversal of 205870912900 is 9219078502.

The square root of 205870912900 is 453730.

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

It can be written as a sum of positive squares in 22 ways, for example, as 194645086596 + 11225826304 = 441186^2 + 105952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205870912901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1311279622 + ... + 1311279778.

Almost surely, 2^205870912900 is an apocalyptic number.

205870912900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205870912900 is the 453730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205870912900

205870912900 is an abundant number, since it is smaller than the sum of its proper divisors (271832450279).

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

205870912900 is an frugal number, since it uses more digits than its factorization.

205870912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 205870912900 in words is "two hundred five billion, eight hundred seventy million, nine hundred twelve thousand, nine hundred".