205103224305 has 32 divisors (see below), whose sum is σ = 416717664000. Its totient is φ = 93761473536.

The previous prime is 205103224289. The next prime is 205103224369. The reversal of 205103224305 is 503422301502.

It is a happy number.

205103224305 is a `hidden beast` number, since 20 + 5 + 10 + 322 + 4 + 305 = 666.

It is not a de Polignac number, because 205103224305 - 2⁴ = 205103224289 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108519280 + ... + 108521169.

It is an arithmetic number, because the mean of its divisors is an integer number (13022427000).

Almost surely, 2^205103224305 is an apocalyptic number.

It is an amenable number.

205103224305 is an abundant number, since it is smaller than the sum of its proper divisors (211614439695).

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

205103224305 is a wasteful number, since it uses less digits than its factorization.

205103224305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217040470 (or 217040464 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 205103224305 its reverse (503422301502), we get a palindrome (708525525807).

The spelling of 205103224305 in words is "two hundred five billion, one hundred three million, two hundred twenty-four thousand, three hundred five".