105005055307 has 2 divisors, whose sum is σ = 105005055308. Its totient is φ = 105005055306.

The previous prime is 105005055229. The next prime is 105005055409. The reversal of 105005055307 is 703550500501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105005055307 - 2⁷ = 105005055179 is a prime.

It is a super-2 number, since 2×105005055307² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105005058307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502527653 + 52502527654.

It is an arithmetic number, because the mean of its divisors is an integer number (52502527654).

Almost surely, 2^105005055307 is an apocalyptic number.

105005055307 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005055307 is an equidigital number, since it uses as much as digits as its factorization.

105005055307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13125, while the sum is 31.

Adding to 105005055307 its reverse (703550500501), we get a palindrome (808555555808).

The spelling of 105005055307 in words is "one hundred five billion, five million, fifty-five thousand, three hundred seven".