105948543171 has 32 divisors (see below), whose sum is σ = 146335352832. Its totient is φ = 68113543680.

The previous prime is 105948543163. The next prime is 105948543191. The reversal of 105948543171 is 171345849501.

It is not a de Polignac number, because 105948543171 - 2³ = 105948543163 is a prime.

It is a super-2 number, since 2×105948543171² (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 105948543171.

It is not an unprimeable number, because it can be changed into a prime (105948543191) 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 31 ways as a sum of consecutive naturals, for example, 56565291 + ... + 56567163.

It is an arithmetic number, because the mean of its divisors is an integer number (4572979776).

Almost surely, 2^105948543171 is an apocalyptic number.

105948543171 is a deficient number, since it is larger than the sum of its proper divisors (40386809661).

105948543171 is a wasteful number, since it uses less digits than its factorization.

105948543171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723.

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 105948543171 in words is "one hundred five billion, nine hundred forty-eight million, five hundred forty-three thousand, one hundred seventy-one".