105505010440065 has 48 divisors (see below), whose sum is σ = 187132572589248. Its totient is φ = 54959484924288.

The previous prime is 105505010440031. The next prime is 105505010440133. The reversal of 105505010440065 is 560044010505501.

105505010440065 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 501 + 0 + 4 + 40 + 0 + 65 = 666.

It is not a de Polignac number, because 105505010440065 - 2¹⁰ = 105505010439041 is a prime.

It is a super-2 number, since 2×105505010440065² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86619202 + ... + 87828788.

It is an arithmetic number, because the mean of its divisors is an integer number (3898595262276).

Almost surely, 2^{105505010440065} is an apocalyptic number.

105505010440065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105505010440065 is a deficient number, since it is larger than the sum of its proper divisors (81627562149183).

105505010440065 is a wasteful number, since it uses less digits than its factorization.

105505010440065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254718 (or 1254715 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 105505010440065 its reverse (560044010505501), we get a palindrome (665549020945566).

The spelling of 105505010440065 in words is "one hundred five trillion, five hundred five billion, ten million, four hundred forty thousand, sixty-five".