105671 has 4 divisors (see below), whose sum is σ = 106344. Its totient is φ = 105000.

The previous prime is 105667. The next prime is 105673. The reversal of 105671 is 176501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 176501 = 13 ⋅13577.

It is a cyclic number.

It is not a de Polignac number, because 105671 - 2² = 105667 is a prime.

It is a super-2 number, since 2×105671² = 22332720482, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (26586).

2¹⁰⁵⁶⁷¹ is an apocalyptic number.

105671 is a deficient number, since it is larger than the sum of its proper divisors (673).

105671 is an equidigital number, since it uses as much as digits as its factorization.

105671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105671 is about 325.0707615274. The cubic root of 105671 is about 47.2772208612.

The spelling of 105671 in words is "one hundred five thousand, six hundred seventy-one".