105565015559 has 2 divisors, whose sum is σ = 105565015560. Its totient is φ = 105565015558.

The previous prime is 105565015541. The next prime is 105565015561. The reversal of 105565015559 is 955510565501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105565015559 - 2³² = 101270048263 is a prime.

It is a super-4 number, since 4×105565015559⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 105565015561, 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 (105565065559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782507779 + 52782507780.

It is an arithmetic number, because the mean of its divisors is an integer number (52782507780).

Almost surely, 2^105565015559 is an apocalyptic number.

105565015559 is a deficient number, since it is larger than the sum of its proper divisors (1).

105565015559 is an equidigital number, since it uses as much as digits as its factorization.

105565015559 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 843750, while the sum is 47.

The spelling of 105565015559 in words is "one hundred five billion, five hundred sixty-five million, fifteen thousand, five hundred fifty-nine".