105105042543 has 16 divisors (see below), whose sum is σ = 143899170912. Its totient is φ = 68198592000.

The previous prime is 105105042529. The next prime is 105105042563. The reversal of 105105042543 is 345240501501.

It is not a de Polignac number, because 105105042543 - 2⁴ = 105105042527 is a prime.

It is a super-2 number, since 2×105105042543² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105105042543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105042563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963078 + ... + 1066643.

It is an arithmetic number, because the mean of its divisors is an integer number (8993698182).

Almost surely, 2^105105042543 is an apocalyptic number.

105105042543 is a deficient number, since it is larger than the sum of its proper divisors (38794128369).

105105042543 is a wasteful number, since it uses less digits than its factorization.

105105042543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030186.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105105042543 in words is "one hundred five billion, one hundred five million, forty-two thousand, five hundred forty-three".