105605555100547 has 2 divisors, whose sum is σ = 105605555100548. Its totient is φ = 105605555100546.

The previous prime is 105605555100533. The next prime is 105605555100601. The reversal of 105605555100547 is 745001555506501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105605555100547 - 2²³ = 105605546711939 is a prime.

It is a super-3 number, since 3×105605555100547³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105605555100547.

It is not a weakly prime, because it can be changed into another prime (105605555100527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52802777550273 + 52802777550274.

It is an arithmetic number, because the mean of its divisors is an integer number (52802777550274).

Almost surely, 2^{105605555100547} is an apocalyptic number.

105605555100547 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605555100547 is an equidigital number, since it uses as much as digits as its factorization.

105605555100547 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2625000, while the sum is 49.

The spelling of 105605555100547 in words is "one hundred five trillion, six hundred five billion, five hundred fifty-five million, one hundred thousand, five hundred forty-seven".