105617271 has 16 divisors (see below), whose sum is σ = 144587520. Its totient is φ = 68537280.

The previous prime is 105617261. The next prime is 105617321. The reversal of 105617271 is 172716501.

It is not a de Polignac number, because 105617271 - 2¹⁸ = 105355127 is a prime.

It is a super-2 number, since 2×105617271² = 22310015866974882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105617221) 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 15 ways as a sum of consecutive naturals, for example, 80406 + ... + 81708.

It is an arithmetic number, because the mean of its divisors is an integer number (9036720).

Almost surely, 2^105617271 is an apocalyptic number.

105617271 is a deficient number, since it is larger than the sum of its proper divisors (38970249).

105617271 is a wasteful number, since it uses less digits than its factorization.

105617271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 105617271 is about 10277.0263695293. The cubic root of 105617271 is about 472.6920671525.

The spelling of 105617271 in words is "one hundred five million, six hundred seventeen thousand, two hundred seventy-one".