205054103241 has 81 divisors (see below), whose sum is σ = 341201202069. Its totient is φ = 118590481152.

The previous prime is 205054103227. The next prime is 205054103269. The reversal of 205054103241 is 142301450502.

The square root of 205054103241 is 452829.

It is a perfect power (a square), and thus also a powerful number.

205054103241 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 5 + 410 + 3 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1851494841 + 203202608400 = 43029^2 + 450780^2 .

It is not a de Polignac number, because 205054103241 - 2⁵ = 205054103209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205054103291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300225286 + ... + 300225968.

Almost surely, 2^205054103241 is an apocalyptic number.

205054103241 is the 452829-th square number.

205054103241 is the 226415-th centered octagonal number.

It is an amenable number.

205054103241 is a deficient number, since it is larger than the sum of its proper divisors (136147098828).

205054103241 is an equidigital number, since it uses as much as digits as its factorization.

205054103241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 205054103241 its reverse (142301450502), we get a palindrome (347355553743).

The spelling of 205054103241 in words is "two hundred five billion, fifty-four million, one hundred three thousand, two hundred forty-one".