105543813617 has 16 divisors (see below), whose sum is σ = 115885916160. Its totient is φ = 95326664400.

The previous prime is 105543813589. The next prime is 105543813631. The reversal of 105543813617 is 716318345501.

It is a happy number.

It is not a de Polignac number, because 105543813617 - 2¹⁰ = 105543812593 is a prime.

It is a super-2 number, since 2×105543813617² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105543813917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6071384 + ... + 6088742.

It is an arithmetic number, because the mean of its divisors is an integer number (7242869760).

Almost surely, 2^105543813617 is an apocalyptic number.

It is an amenable number.

105543813617 is a deficient number, since it is larger than the sum of its proper divisors (10342102543).

105543813617 is a wasteful number, since it uses less digits than its factorization.

105543813617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20924.

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 105543813617 in words is "one hundred five billion, five hundred forty-three million, eight hundred thirteen thousand, six hundred seventeen".