105531538017 has 16 divisors (see below), whose sum is σ = 142391433600. Its totient is φ = 69516045312.

The previous prime is 105531538003. The next prime is 105531538019. The reversal of 105531538017 is 710835135501.

It is not a de Polignac number, because 105531538017 - 2⁴ = 105531538001 is a prime.

It is a super-2 number, since 2×105531538017² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105531538019) 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, 241578 + ... + 519059.

It is an arithmetic number, because the mean of its divisors is an integer number (8899464600).

Almost surely, 2^105531538017 is an apocalyptic number.

It is an amenable number.

105531538017 is a deficient number, since it is larger than the sum of its proper divisors (36859895583).

105531538017 is a wasteful number, since it uses less digits than its factorization.

105531538017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761192.

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 105531538017 in words is "one hundred five billion, five hundred thirty-one million, five hundred thirty-eight thousand, seventeen".