105491186564 has 6 divisors (see below), whose sum is σ = 184609576494. Its totient is φ = 52745593280.

The previous prime is 105491186561. The next prime is 105491186573. The reversal of 105491186564 is 465681194501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 57284592964 + 48206593600 = 239342^2 + 219560^2 .

It is a super-2 number, since 2×105491186564² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105491186561) 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, 13186398317 + ... + 13186398324.

It is an arithmetic number, because the mean of its divisors is an integer number (30768262749).

Almost surely, 2^105491186564 is an apocalyptic number.

It is an amenable number.

105491186564 is a deficient number, since it is larger than the sum of its proper divisors (79118389930).

105491186564 is a wasteful number, since it uses less digits than its factorization.

105491186564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26372796645 (or 26372796643 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 105491186564 in words is "one hundred five billion, four hundred ninety-one million, one hundred eighty-six thousand, five hundred sixty-four".