105608305583567 has 2 divisors, whose sum is σ = 105608305583568. Its totient is φ = 105608305583566.

The previous prime is 105608305583509. The next prime is 105608305583569. The reversal of 105608305583567 is 765385503806501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105608305583567 - 2⁶ = 105608305583503 is a prime.

It is a super-2 number, since 2×105608305583567² (a number of 29 digits) contains 22 as substring.

Together with 105608305583569, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105608305583569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52804152791783 + 52804152791784.

It is an arithmetic number, because the mean of its divisors is an integer number (52804152791784).

Almost surely, 2^{105608305583567} is an apocalyptic number.

105608305583567 is a deficient number, since it is larger than the sum of its proper divisors (1).

105608305583567 is an equidigital number, since it uses as much as digits as its factorization.

105608305583567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720000, while the sum is 62.

The spelling of 105608305583567 in words is "one hundred five trillion, six hundred eight billion, three hundred five million, five hundred eighty-three thousand, five hundred sixty-seven".