105100345530217 has 2 divisors, whose sum is σ = 105100345530218. Its totient is φ = 105100345530216.

The previous prime is 105100345530179. The next prime is 105100345530247. The reversal of 105100345530217 is 712035543001501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89018168283136 + 16082177247081 = 9434944^2 + 4010259^2 .

It is a cyclic number.

It is not a de Polignac number, because 105100345530217 - 2³⁹ = 104550589716329 is a prime.

It is a super-2 number, since 2×105100345530217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105100345530247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550172765108 + 52550172765109.

It is an arithmetic number, because the mean of its divisors is an integer number (52550172765109).

Almost surely, 2^{105100345530217} is an apocalyptic number.

It is an amenable number.

105100345530217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100345530217 is an equidigital number, since it uses as much as digits as its factorization.

105100345530217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63000, while the sum is 37.

Adding to 105100345530217 its reverse (712035543001501), we get a palindrome (817135888531718).

The spelling of 105100345530217 in words is "one hundred five trillion, one hundred billion, three hundred forty-five million, five hundred thirty thousand, two hundred seventeen".