105172111007 has 2 divisors, whose sum is σ = 105172111008. Its totient is φ = 105172111006.

The previous prime is 105172111001. The next prime is 105172111013. The reversal of 105172111007 is 700111271501.

It is a balanced prime because it is at equal distance from previous prime (105172111001) and next prime (105172111013).

It is a cyclic number.

It is not a de Polignac number, because 105172111007 - 2²⁰ = 105171062431 is a prime.

It is a super-2 number, since 2×105172111007² (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 (105172111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52586055503 + 52586055504.

It is an arithmetic number, because the mean of its divisors is an integer number (52586055504).

Almost surely, 2^105172111007 is an apocalyptic number.

105172111007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105172111007 is an equidigital number, since it uses as much as digits as its factorization.

105172111007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 490, while the sum is 26.

Adding to 105172111007 its reverse (700111271501), we get a palindrome (805283382508).

The spelling of 105172111007 in words is "one hundred five billion, one hundred seventy-two million, one hundred eleven thousand, seven".