105506110561 has 16 divisors (see below), whose sum is σ = 108468011520. Its totient is φ = 102575753280.

The previous prime is 105506110559. The next prime is 105506110579. The reversal of 105506110561 is 165011605501.

It is a cyclic number.

It is not a de Polignac number, because 105506110561 - 2¹ = 105506110559 is a prime.

It is a super-3 number, since 3×105506110561³ (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 not an unprimeable number, because it can be changed into a prime (105506110261) 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 in 15 ways as a sum of consecutive naturals, for example, 6111580 + ... + 6128818.

It is an arithmetic number, because the mean of its divisors is an integer number (6779250720).

Almost surely, 2^105506110561 is an apocalyptic number.

It is an amenable number.

105506110561 is a deficient number, since it is larger than the sum of its proper divisors (2961900959).

105506110561 is a wasteful number, since it uses less digits than its factorization.

105506110561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105506110561 in words is "one hundred five billion, five hundred six million, one hundred ten thousand, five hundred sixty-one".