105285871 has 2 divisors, whose sum is σ = 105285872. Its totient is φ = 105285870.

The previous prime is 105285857. The next prime is 105285883. The reversal of 105285871 is 178582501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105285871 - 2⁹ = 105285359 is a prime.

It is a super-2 number, since 2×105285871² = 22170229264457282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105285871.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105285841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52642935 + 52642936.

It is an arithmetic number, because the mean of its divisors is an integer number (52642936).

Almost surely, 2^105285871 is an apocalyptic number.

105285871 is a deficient number, since it is larger than the sum of its proper divisors (1).

105285871 is an equidigital number, since it uses as much as digits as its factorization.

105285871 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22400, while the sum is 37.

The square root of 105285871 is about 10260.8903609775. The cubic root of 105285871 is about 472.1971535255.

The spelling of 105285871 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred seventy-one".