105005005989967 has 2 divisors, whose sum is σ = 105005005989968. Its totient is φ = 105005005989966.

The previous prime is 105005005989887. The next prime is 105005005990037. The reversal of 105005005989967 is 769989500500501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105005005989967 - 2²⁷ = 105004871772239 is a prime.

It is a super-2 number, since 2×105005005989967² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005005989899 and 105005005989908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105005005983967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502502994983 + 52502502994984.

It is an arithmetic number, because the mean of its divisors is an integer number (52502502994984).

Almost surely, 2^{105005005989967} is an apocalyptic number.

105005005989967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005005989967 is an equidigital number, since it uses as much as digits as its factorization.

105005005989967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618000, while the sum is 64.

The spelling of 105005005989967 in words is "one hundred five trillion, five billion, five million, nine hundred eighty-nine thousand, nine hundred sixty-seven".