2105661821 has 2 divisors, whose sum is σ = 2105661822. Its totient is φ = 2105661820.

The previous prime is 2105661781. The next prime is 2105661829. The reversal of 2105661821 is 1281665012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1080765625 + 1024896196 = 32875^2 + 32014^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105661821 - 2¹⁸ = 2105399677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105661829) 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, 1052830910 + 1052830911.

It is an arithmetic number, because the mean of its divisors is an integer number (1052830911).

Almost surely, 2^2105661821 is an apocalyptic number.

It is an amenable number.

2105661821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105661821 is an equidigital number, since it uses as much as digits as its factorization.

2105661821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2105661821 is about 45887.4908989367. The cubic root of 2105661821 is about 1281.7289909867.

The spelling of 2105661821 in words is "two billion, one hundred five million, six hundred sixty-one thousand, eight hundred twenty-one".