105117210677 has 2 divisors, whose sum is σ = 105117210678. Its totient is φ = 105117210676.

The previous prime is 105117210619. The next prime is 105117210703. The reversal of 105117210677 is 776012711501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89452435396 + 15664775281 = 299086^2 + 125159^2 .

It is an emirp because it is prime and its reverse (776012711501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105117210677 - 2⁶ = 105117210613 is a prime.

It is a super-2 number, since 2×105117210677² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105117210677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105117210607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558605338 + 52558605339.

It is an arithmetic number, because the mean of its divisors is an integer number (52558605339).

Almost surely, 2^105117210677 is an apocalyptic number.

It is an amenable number.

105117210677 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117210677 is an equidigital number, since it uses as much as digits as its factorization.

105117210677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20580, while the sum is 38.

The spelling of 105117210677 in words is "one hundred five billion, one hundred seventeen million, two hundred ten thousand, six hundred seventy-seven".