105605769649 has 4 divisors (see below), whose sum is σ = 111817873764. Its totient is φ = 99393665536.

The previous prime is 105605769589. The next prime is 105605769673. The reversal of 105605769649 is 946967506501.

It is a happy number.

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 69890439424 + 35715330225 = 264368^2 + 188985^2 .

It is not a de Polignac number, because 105605769649 - 2¹⁷ = 105605638577 is a prime.

It is a super-3 number, since 3×105605769649³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105605769593 and 105605769602.

It is not an unprimeable number, because it can be changed into a prime (105605769679) 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, 3106052032 + ... + 3106052065.

It is an arithmetic number, because the mean of its divisors is an integer number (27954468441).

Almost surely, 2^105605769649 is an apocalyptic number.

It is an amenable number.

105605769649 is a deficient number, since it is larger than the sum of its proper divisors (6212104115).

105605769649 is an equidigital number, since it uses as much as digits as its factorization.

105605769649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212104114.

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 105605769649 in words is "one hundred five billion, six hundred five million, seven hundred sixty-nine thousand, six hundred forty-nine".