205765500 has 48 divisors (see below), whose sum is σ = 599193504. Its totient is φ = 54870400.

The previous prime is 205765493. The next prime is 205765519. The reversal of 205765500 is 5567502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67089 + ... + 70088.

It is an arithmetic number, because the mean of its divisors is an integer number (12483198).

Almost surely, 2^205765500 is an apocalyptic number.

205765500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205765500 is an abundant number, since it is smaller than the sum of its proper divisors (393428004).

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

205765500 is a wasteful number, since it uses less digits than its factorization.

205765500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137199 (or 137187 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 205765500 is about 14344.5285736409. The cubic root of 205765500 is about 590.3698724537.

The spelling of 205765500 in words is "two hundred five million, seven hundred sixty-five thousand, five hundred".