105510105059 has 2 divisors, whose sum is σ = 105510105060. Its totient is φ = 105510105058.

The previous prime is 105510105013. The next prime is 105510105061. The reversal of 105510105059 is 950501015501.

It is a strong prime.

It is an emirp because it is prime and its reverse (950501015501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105510105059 - 2²⁴ = 105493327843 is a prime.

It is a super-2 number, since 2×105510105059² (a number of 23 digits) contains 22 as substring.

Together with 105510105061, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105510105089) 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, 52755052529 + 52755052530.

It is an arithmetic number, because the mean of its divisors is an integer number (52755052530).

Almost surely, 2^105510105059 is an apocalyptic number.

105510105059 is a deficient number, since it is larger than the sum of its proper divisors (1).

105510105059 is an equidigital number, since it uses as much as digits as its factorization.

105510105059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5625, while the sum is 32.

The spelling of 105510105059 in words is "one hundred five billion, five hundred ten million, one hundred five thousand, fifty-nine".