105505105997 has 2 divisors, whose sum is σ = 105505105998. Its totient is φ = 105505105996.

The previous prime is 105505105991. The next prime is 105505106071. The reversal of 105505105997 is 799501505501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100155792676 + 5349313321 = 316474^2 + 73139^2 .

It is an emirp because it is prime and its reverse (799501505501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105505105997 - 2²² = 105500911693 is a prime.

It is a super-2 number, since 2×105505105997² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105505105991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752552998 + 52752552999.

It is an arithmetic number, because the mean of its divisors is an integer number (52752552999).

Almost surely, 2^105505105997 is an apocalyptic number.

It is an amenable number.

105505105997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505105997 is an equidigital number, since it uses as much as digits as its factorization.

105505105997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 354375, while the sum is 47.

The spelling of 105505105997 in words is "one hundred five billion, five hundred five million, one hundred five thousand, nine hundred ninety-seven".