105655607171 has 12 divisors (see below), whose sum is σ = 110698735200. Its totient is φ = 100706183760.

The previous prime is 105655607143. The next prime is 105655607191. The reversal of 105655607171 is 171706556501.

It is not a de Polignac number, because 105655607171 - 2³⁰ = 104581865347 is a prime.

It is a super-2 number, since 2×105655607171² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105655607191) 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 11 ways as a sum of consecutive naturals, for example, 15554786 + ... + 15561576.

It is an arithmetic number, because the mean of its divisors is an integer number (9224894600).

Almost surely, 2^105655607171 is an apocalyptic number.

105655607171 is a deficient number, since it is larger than the sum of its proper divisors (5043128029).

105655607171 is an frugal number, since it uses more digits than its factorization.

105655607171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13690 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 44.

The spelling of 105655607171 in words is "one hundred five billion, six hundred fifty-five million, six hundred seven thousand, one hundred seventy-one".