205106400011 has 2 divisors, whose sum is σ = 205106400012. Its totient is φ = 205106400010.

The previous prime is 205106399983. The next prime is 205106400013. The reversal of 205106400011 is 110004601502.

205106400011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205106400011 - 2¹⁸ = 205106137867 is a prime.

Together with 205106400013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205106400013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102553200005 + 102553200006.

It is an arithmetic number, because the mean of its divisors is an integer number (102553200006).

Almost surely, 2^205106400011 is an apocalyptic number.

205106400011 is a deficient number, since it is larger than the sum of its proper divisors (1).

205106400011 is an equidigital number, since it uses as much as digits as its factorization.

205106400011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 205106400011 in words is "two hundred five billion, one hundred six million, four hundred thousand, eleven".