105005538667 has 2 divisors, whose sum is σ = 105005538668. Its totient is φ = 105005538666.

The previous prime is 105005538641. The next prime is 105005538773. The reversal of 105005538667 is 766835500501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105005538667 - 2³⁵ = 70645800299 is a prime.

It is a super-2 number, since 2×105005538667² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105005538637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502769333 + 52502769334.

It is an arithmetic number, because the mean of its divisors is an integer number (52502769334).

Almost surely, 2^105005538667 is an apocalyptic number.

105005538667 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005538667 is an equidigital number, since it uses as much as digits as its factorization.

105005538667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 105005538667 in words is "one hundred five billion, five million, five hundred thirty-eight thousand, six hundred sixty-seven".