105435544543 has 12 divisors (see below), whose sum is σ = 123265851600. Its totient is φ = 89919178272.

The previous prime is 105435544531. The next prime is 105435544549. The reversal of 105435544543 is 345445534501.

It is not a de Polignac number, because 105435544543 - 2¹⁷ = 105435413471 is a prime.

It is a super-2 number, since 2×105435544543² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105435544543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105435544549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5396646 + ... + 5416147.

It is an arithmetic number, because the mean of its divisors is an integer number (10272154300).

Almost surely, 2^105435544543 is an apocalyptic number.

105435544543 is a deficient number, since it is larger than the sum of its proper divisors (17830307057).

105435544543 is a wasteful number, since it uses less digits than its factorization.

105435544543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813006 (or 10812999 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 43.

The spelling of 105435544543 in words is "one hundred five billion, four hundred thirty-five million, five hundred forty-four thousand, five hundred forty-three".