2105656345567 has 2 divisors, whose sum is σ = 2105656345568. Its totient is φ = 2105656345566.

The previous prime is 2105656345537. The next prime is 2105656345603. The reversal of 2105656345567 is 7655436565012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2105656345567 - 2³⁵ = 2071296607199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105656345537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052828172783 + 1052828172784.

It is an arithmetic number, because the mean of its divisors is an integer number (1052828172784).

Almost surely, 2^{2105656345567} is an apocalyptic number.

2105656345567 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105656345567 is an equidigital number, since it uses as much as digits as its factorization.

2105656345567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680000, while the sum is 55.

The spelling of 2105656345567 in words is "two trillion, one hundred five billion, six hundred fifty-six million, three hundred forty-five thousand, five hundred sixty-seven".