105566449798567 has 2 divisors, whose sum is σ = 105566449798568. Its totient is φ = 105566449798566.

The previous prime is 105566449798531. The next prime is 105566449798603. The reversal of 105566449798567 is 765897944665501.

It is a balanced prime because it is at equal distance from previous prime (105566449798531) and next prime (105566449798603).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105566449798567 is a prime.

It is a super-2 number, since 2×105566449798567² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105566449708567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52783224899283 + 52783224899284.

It is an arithmetic number, because the mean of its divisors is an integer number (52783224899284).

Almost surely, 2^{105566449798567} is an apocalyptic number.

105566449798567 is a deficient number, since it is larger than the sum of its proper divisors (1).

105566449798567 is an equidigital number, since it uses as much as digits as its factorization.

105566449798567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13716864000, while the sum is 82.

The spelling of 105566449798567 in words is "one hundred five trillion, five hundred sixty-six billion, four hundred forty-nine million, seven hundred ninety-eight thousand, five hundred sixty-seven".