105581166769 has 16 divisors (see below), whose sum is σ = 118071639504. Its totient is φ = 93779942400.

The previous prime is 105581166749. The next prime is 105581166791. The reversal of 105581166769 is 967661185501.

It can be written as a sum of positive squares in 8 ways, for example, as 856440225 + 104724726544 = 29265^2 + 323612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105581166769 is a prime.

It is a super-2 number, since 2×105581166769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105581166749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317862 + ... + 1395679.

It is an arithmetic number, because the mean of its divisors is an integer number (7379477469).

Almost surely, 2^105581166769 is an apocalyptic number.

It is an amenable number.

105581166769 is a deficient number, since it is larger than the sum of its proper divisors (12490472735).

105581166769 is a wasteful number, since it uses less digits than its factorization.

105581166769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713668.

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 105581166769 in words is "one hundred five billion, five hundred eighty-one million, one hundred sixty-six thousand, seven hundred sixty-nine".