105287671 has 2 divisors, whose sum is σ = 105287672. Its totient is φ = 105287670.

The previous prime is 105287669. The next prime is 105287729. The reversal of 105287671 is 176782501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105287671 - 2¹ = 105287669 is a prime.

It is a super-2 number, since 2×105287671² = 22170987329208482, which contains 22 as substring.

Together with 105287669, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105287671.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105287641) 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 as a sum of consecutive naturals, namely, 52643835 + 52643836.

It is an arithmetic number, because the mean of its divisors is an integer number (52643836).

Almost surely, 2^105287671 is an apocalyptic number.

105287671 is a deficient number, since it is larger than the sum of its proper divisors (1).

105287671 is an equidigital number, since it uses as much as digits as its factorization.

105287671 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105287671 is about 10260.9780722892. The cubic root of 105287671 is about 472.1998444534.

The spelling of 105287671 in words is "one hundred five million, two hundred eighty-seven thousand, six hundred seventy-one".