205544356900 has 27 divisors (see below), whose sum is σ = 446041092819. Its totient is φ = 82215929280.

The previous prime is 205544356867. The next prime is 205544356939. The reversal of 205544356900 is 9653445502.

The square root of 205544356900 is 453370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 798966756 + 204745390144 = 28266^2 + 452488^2 .

It is a super-2 number, since 2×205544356900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 4511032 + ... + 4556368.

Almost surely, 2^205544356900 is an apocalyptic number.

205544356900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205544356900 is the 453370-th square number.

It is an amenable number.

205544356900 is an abundant number, since it is smaller than the sum of its proper divisors (240496735919).

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

205544356900 is an frugal number, since it uses more digits than its factorization.

205544356900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90688 (or 45344 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 205544356900 in words is "two hundred five billion, five hundred forty-four million, three hundred fifty-six thousand, nine hundred".