205105693292641 has 16 divisors (see below), whose sum is σ = 208725981412608. Its totient is φ = 201516696576000.

The previous prime is 205105693292537. The next prime is 205105693292713. The reversal of 205105693292641 is 146292396501502.

It is a cyclic number.

It is not a de Polignac number, because 205105693292641 - 2¹⁷ = 205105693161569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205105693232641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345204280 + ... + 345797926.

It is an arithmetic number, because the mean of its divisors is an integer number (13045373838288).

Almost surely, 2^{205105693292641} is an apocalyptic number.

It is an amenable number.

205105693292641 is a deficient number, since it is larger than the sum of its proper divisors (3620288119967).

205105693292641 is a wasteful number, since it uses less digits than its factorization.

205105693292641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619992.

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 205105693292641 in words is "two hundred five trillion, one hundred five billion, six hundred ninety-three million, two hundred ninety-two thousand, six hundred forty-one".