205355080 has 48 divisors (see below), whose sum is σ = 537490620. Its totient is φ = 70406784.

The previous prime is 205355077. The next prime is 205355083. The reversal of 205355080 is 80553502.

205355080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205355077) and next prime (205355083).

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 9746884 = 13986^2 + 3122^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (205355083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50427 + ... + 54346.

Almost surely, 2^205355080 is an apocalyptic number.

205355080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205355080 is an abundant number, since it is smaller than the sum of its proper divisors (332135540).

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

205355080 is a wasteful number, since it uses less digits than its factorization.

205355080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104798 (or 104787 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 205355080 is about 14330.2156299199. The cubic root of 205355080 is about 589.9770938153.

The spelling of 205355080 in words is "two hundred five million, three hundred fifty-five thousand, eighty".