105388565785845 has 32 divisors (see below), whose sum is σ = 174675266156160. Its totient is φ = 54220188380160.

The previous prime is 105388565785819. The next prime is 105388565785849. The reversal of 105388565785845 is 548587565883501.

It is not a de Polignac number, because 105388565785845 - 2¹³ = 105388565777653 is a prime.

It is a super-2 number, since 2×105388565785845² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105388565785849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962661679 + ... + 962771148.

It is an arithmetic number, because the mean of its divisors is an integer number (5458602067380).

Almost surely, 2^{105388565785845} is an apocalyptic number.

105388565785845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105388565785845 is a deficient number, since it is larger than the sum of its proper divisors (69286700370315).

105388565785845 is a wasteful number, since it uses less digits than its factorization.

105388565785845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925432965.

The product of its (nonzero) digits is 6451200000, while the sum is 78.

The spelling of 105388565785845 in words is "one hundred five trillion, three hundred eighty-eight billion, five hundred sixty-five million, seven hundred eighty-five thousand, eight hundred forty-five".