105916986097777 has 2 divisors, whose sum is σ = 105916986097778. Its totient is φ = 105916986097776.

The previous prime is 105916986097757. The next prime is 105916986097841. The reversal of 105916986097777 is 777790689619501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56286665973136 + 49630320124641 = 7502444^2 + 7044879^2 .

It is a cyclic number.

It is not a de Polignac number, because 105916986097777 - 2¹¹ = 105916986095729 is a prime.

It is a super-2 number, since 2×105916986097777² (a number of 29 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 105916986097777.

It is not a weakly prime, because it can be changed into another prime (105916986097757) 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, 52958493048888 + 52958493048889.

It is an arithmetic number, because the mean of its divisors is an integer number (52958493048889).

Almost surely, 2^{105916986097777} is an apocalyptic number.

It is an amenable number.

105916986097777 is a deficient number, since it is larger than the sum of its proper divisors (1).

105916986097777 is an equidigital number, since it uses as much as digits as its factorization.

105916986097777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520473760, while the sum is 82.

The spelling of 105916986097777 in words is "one hundred five trillion, nine hundred sixteen billion, nine hundred eighty-six million, ninety-seven thousand, seven hundred seventy-seven".