2106334564949 has 2 divisors, whose sum is σ = 2106334564950. Its totient is φ = 2106334564948.

The previous prime is 2106334564907. The next prime is 2106334564967. The reversal of 2106334564949 is 9494654336012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1259741353924 + 846593211025 = 1122382^2 + 920105^2 .

It is a cyclic number.

It is not a de Polignac number, because 2106334564949 - 2²⁰ = 2106333516373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2106334564894 and 2106334564903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2106334564969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1053167282474 + 1053167282475.

It is an arithmetic number, because the mean of its divisors is an integer number (1053167282475).

Almost surely, 2^{2106334564949} is an apocalyptic number.

It is an amenable number.

2106334564949 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106334564949 is an equidigital number, since it uses as much as digits as its factorization.

2106334564949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16796160, while the sum is 56.

The spelling of 2106334564949 in words is "two trillion, one hundred six billion, three hundred thirty-four million, five hundred sixty-four thousand, nine hundred forty-nine".