105797386917 has 12 divisors (see below), whose sum is σ = 161807768460. Its totient is φ = 66382674048.

The previous prime is 105797386859. The next prime is 105797386927. The reversal of 105797386917 is 719683797501.

105797386917 is a `hidden beast` number, since 10 + 579 + 7 + 38 + 6 + 9 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73253587716 + 32543799201 = 270654^2 + 180399^2 .

It is not a de Polignac number, because 105797386917 - 2⁷ = 105797386789 is a prime.

It is a super-2 number, since 2×105797386917² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105797386927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345742942 + ... + 345743247.

It is an arithmetic number, because the mean of its divisors is an integer number (13483980705).

Almost surely, 2^105797386917 is an apocalyptic number.

105797386917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105797386917 is a deficient number, since it is larger than the sum of its proper divisors (56010381543).

105797386917 is a wasteful number, since it uses less digits than its factorization.

105797386917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691486212 (or 691486209 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 105797386917 in words is "one hundred five billion, seven hundred ninety-seven million, three hundred eighty-six thousand, nine hundred seventeen".