205104840 has 64 divisors (see below), whose sum is σ = 629640000. Its totient is φ = 53421312.

The previous prime is 205104839. The next prime is 205104853. The reversal of 205104840 is 48401502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205104840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14715 + ... + 25034.

It is an arithmetic number, because the mean of its divisors is an integer number (9838125).

Almost surely, 2^205104840 is an apocalyptic number.

205104840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205104840 is an abundant number, since it is smaller than the sum of its proper divisors (424535160).

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

205104840 is a wasteful number, since it uses less digits than its factorization.

205104840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39806 (or 39802 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 205104840 is about 14321.4817669122. The cubic root of 205104840 is about 589.7373531721.

The spelling of 205104840 in words is "two hundred five million, one hundred four thousand, eight hundred forty".