105759773917 has 6 divisors (see below), whose sum is σ = 123026675838. Its totient is φ = 90651234744.

The previous prime is 105759773887. The next prime is 105759773969. The reversal of 105759773917 is 719377957501.

It can be written as a sum of positive squares in only one way, i.e., 59330729241 + 46429044676 = 243579^2 + 215474^2 .

It is not a de Polignac number, because 105759773917 - 2¹¹ = 105759771869 is a prime.

It is a super-2 number, since 2×105759773917² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105759771917) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1079181318 + ... + 1079181415.

It is an arithmetic number, because the mean of its divisors is an integer number (20504445973).

Almost surely, 2^105759773917 is an apocalyptic number.

It is an amenable number.

105759773917 is a deficient number, since it is larger than the sum of its proper divisors (17266901921).

105759773917 is an equidigital number, since it uses as much as digits as its factorization.

105759773917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158362747 (or 2158362740 counting only the distinct ones).

The product of its (nonzero) digits is 14586075, while the sum is 61.

The spelling of 105759773917 in words is "one hundred five billion, seven hundred fifty-nine million, seven hundred seventy-three thousand, nine hundred seventeen".