105071 has 2 divisors, whose sum is σ = 105072. Its totient is φ = 105070.

The previous prime is 105037. The next prime is 105097. The reversal of 105071 is 170501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105071 - 2¹⁰ = 104047 is a prime.

It is a super-2 number, since 2×105071² = 22079830082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52535 + 52536.

It is an arithmetic number, because the mean of its divisors is an integer number (52536).

2¹⁰⁵⁰⁷¹ is an apocalyptic number.

105071 is a deficient number, since it is larger than the sum of its proper divisors (1).

105071 is an equidigital number, since it uses as much as digits as its factorization.

105071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105071 is about 324.1465717850. The cubic root of 105071 is about 47.1875709398.

Adding to 105071 its reverse (170501), we get a palindrome (275572).

The spelling of 105071 in words is "one hundred five thousand, seventy-one".