205010568 has 64 divisors (see below), whose sum is σ = 650832000. Its totient is φ = 58574016.

The previous prime is 205010539. The next prime is 205010587. The reversal of 205010568 is 865010502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66283 + ... + 69306.

It is an arithmetic number, because the mean of its divisors is an integer number (10169250).

Almost surely, 2^205010568 is an apocalyptic number.

205010568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205010568 is an abundant number, since it is smaller than the sum of its proper divisors (445821432).

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

205010568 is a wasteful number, since it uses less digits than its factorization.

205010568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135611 (or 135601 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 205010568 is about 14318.1901090885. The cubic root of 205010568 is about 589.6469859892.

The spelling of 205010568 in words is "two hundred five million, ten thousand, five hundred sixty-eight".