205410020 has 24 divisors (see below), whose sum is σ = 431827200. Its totient is φ = 82075232.

The previous prime is 205410019. The next prime is 205410043. The reversal of 205410020 is 20014502.

It is a junction number, because it is equal to n+sod(n) for n = 205409977 and 205410004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15341 + ... + 25419.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^205410020 is an apocalyptic number.

205410020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205410020 is an abundant number, since it is smaller than the sum of its proper divisors (226417180).

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

205410020 is a wasteful number, since it uses less digits than its factorization.

205410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 205410020 is about 14332.1324303120. The cubic root of 205410020 is about 590.0297026127.

Adding to 205410020 its reverse (20014502), we get a palindrome (225424522).

The spelling of 205410020 in words is "two hundred five million, four hundred ten thousand, twenty".