105142827311543 has 16 divisors (see below), whose sum is σ = 129429184177920. Its totient is φ = 83393576614656.

The previous prime is 105142827311521. The next prime is 105142827311569. The reversal of 105142827311543 is 345113728241501.

It is not a de Polignac number, because 105142827311543 - 2³⁰ = 105141753569719 is a prime.

It is a super-2 number, since 2×105142827311543² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142827311443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9192407930 + ... + 9192419367.

It is an arithmetic number, because the mean of its divisors is an integer number (8089324011120).

Almost surely, 2^{105142827311543} is an apocalyptic number.

105142827311543 is a deficient number, since it is larger than the sum of its proper divisors (24286356866377).

105142827311543 is a wasteful number, since it uses less digits than its factorization.

105142827311543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18384827366.

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 105142827311543 in words is "one hundred five trillion, one hundred forty-two billion, eight hundred twenty-seven million, three hundred eleven thousand, five hundred forty-three".