105955876889 has 2 divisors, whose sum is σ = 105955876890. Its totient is φ = 105955876888.

The previous prime is 105955876853. The next prime is 105955876963. The reversal of 105955876889 is 988678559501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69863476489 + 36092400400 = 264317^2 + 189980^2 .

It is an emirp because it is prime and its reverse (988678559501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105955876889 is a prime.

It is a super-2 number, since 2×105955876889² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105955876289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52977938444 + 52977938445.

It is an arithmetic number, because the mean of its divisors is an integer number (52977938445).

Almost surely, 2^105955876889 is an apocalyptic number.

It is an amenable number.

105955876889 is a deficient number, since it is larger than the sum of its proper divisors (1).

105955876889 is an equidigital number, since it uses as much as digits as its factorization.

105955876889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728000, while the sum is 71.

The spelling of 105955876889 in words is "one hundred five billion, nine hundred fifty-five million, eight hundred seventy-six thousand, eight hundred eighty-nine".