105608642836777 has 4 divisors (see below), whose sum is σ = 105609607259076. Its totient is φ = 105607678414480.

The previous prime is 105608642836703. The next prime is 105608642836811. The reversal of 105608642836777 is 777638246806501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21010663220121 + 84597979616656 = 4583739^2 + 9197716^2 .

It is a cyclic number.

It is not a de Polignac number, because 105608642836777 - 2²³ = 105608634448169 is a prime.

It is a super-3 number, since 3×105608642836777³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105608642536777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482046874 + ... + 482265907.

It is an arithmetic number, because the mean of its divisors is an integer number (26402401814769).

Almost surely, 2^{105608642836777} is an apocalyptic number.

It is an amenable number.

105608642836777 is a deficient number, since it is larger than the sum of its proper divisors (964422299).

105608642836777 is an equidigital number, since it uses as much as digits as its factorization.

105608642836777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964422298.

The product of its (nonzero) digits is 568995840, while the sum is 70.

The spelling of 105608642836777 in words is "one hundred five trillion, six hundred eight billion, six hundred forty-two million, eight hundred thirty-six thousand, seven hundred seventy-seven".