105500442405 has 16 divisors (see below), whose sum is σ = 171985628160. Its totient is φ = 55205262528.

The previous prime is 105500442391. The next prime is 105500442407. The reversal of 105500442405 is 504244005501.

It is not a de Polignac number, because 105500442405 - 2⁵ = 105500442373 is a prime.

It is a super-2 number, since 2×105500442405² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500442407) 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, 66351685 + ... + 66353274.

It is an arithmetic number, because the mean of its divisors is an integer number (10749101760).

Almost surely, 2^105500442405 is an apocalyptic number.

105500442405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105500442405 is a deficient number, since it is larger than the sum of its proper divisors (66485185755).

105500442405 is a wasteful number, since it uses less digits than its factorization.

105500442405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132705020.

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 105500442405 its reverse (504244005501), we get a palindrome (609744447906).

The spelling of 105500442405 in words is "one hundred five billion, five hundred million, four hundred forty-two thousand, four hundred five".