105111100517 has 2 divisors, whose sum is σ = 105111100518. Its totient is φ = 105111100516.

The previous prime is 105111100469. The next prime is 105111100519. The reversal of 105111100517 is 715001111501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70569391201 + 34541709316 = 265649^2 + 185854^2 .

It is an emirp because it is prime and its reverse (715001111501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105111100517 is a prime.

It is a super-2 number, since 2×105111100517² (a number of 23 digits) contains 22 as substring.

Together with 105111100519, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105111100492 and 105111100501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105111100519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555550258 + 52555550259.

It is an arithmetic number, because the mean of its divisors is an integer number (52555550259).

Almost surely, 2^105111100517 is an apocalyptic number.

It is an amenable number.

105111100517 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111100517 is an equidigital number, since it uses as much as digits as its factorization.

105111100517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 23.

The spelling of 105111100517 in words is "one hundred five billion, one hundred eleven million, one hundred thousand, five hundred seventeen".