105018559712689 has 16 divisors (see below), whose sum is σ = 120086924453248. Its totient is φ = 89966636589312.

The previous prime is 105018559712687. The next prime is 105018559712699. The reversal of 105018559712689 is 986217955810501.

It is not a de Polignac number, because 105018559712689 - 2¹ = 105018559712687 is a prime.

It is a super-2 number, since 2×105018559712689² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105018559712681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94998559 + ... + 96097675.

It is an arithmetic number, because the mean of its divisors is an integer number (7505432778328).

Almost surely, 2^{105018559712689} is an apocalyptic number.

It is an amenable number.

105018559712689 is a deficient number, since it is larger than the sum of its proper divisors (15068364740559).

105018559712689 is a wasteful number, since it uses less digits than its factorization.

105018559712689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106584.

The product of its (nonzero) digits is 54432000, while the sum is 67.

The spelling of 105018559712689 in words is "one hundred five trillion, eighteen billion, five hundred fifty-nine million, seven hundred twelve thousand, six hundred eighty-nine".