205145584900 has 27 divisors (see below), whose sum is σ = 445175748031. Its totient is φ = 82056422240.

The previous prime is 205145584859. The next prime is 205145584901. The reversal of 205145584900 is 9485541502.

The square root of 205145584900 is 452930.

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 1811716 + 205143773184 = 1346^2 + 452928^2 .

It is a super-2 number, since 2×205145584900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205145584901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4506654 + ... + 4551946.

Almost surely, 2^205145584900 is an apocalyptic number.

205145584900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205145584900 is the 452930-th square number.

It is an amenable number.

205145584900 is an abundant number, since it is smaller than the sum of its proper divisors (240030163131).

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

205145584900 is an frugal number, since it uses more digits than its factorization.

205145584900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90600 (or 45300 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 205145584900 in words is "two hundred five billion, one hundred forty-five million, five hundred eighty-four thousand, nine hundred".