105871867 has 2 divisors, whose sum is σ = 105871868. Its totient is φ = 105871866.

The previous prime is 105871823. The next prime is 105871939. The reversal of 105871867 is 768178501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105871867 - 2¹⁵ = 105839099 is a prime.

It is a super-2 number, since 2×105871867² = 22417704444131378, which contains 22 as substring.

It is equal to p_6079858 and since 105871867 and 6079858 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105871807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52935933 + 52935934.

It is an arithmetic number, because the mean of its divisors is an integer number (52935934).

Almost surely, 2^105871867 is an apocalyptic number.

105871867 is a deficient number, since it is larger than the sum of its proper divisors (1).

105871867 is an equidigital number, since it uses as much as digits as its factorization.

105871867 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 43.

The square root of 105871867 is about 10289.4055707801. The cubic root of 105871867 is about 473.0715787543.

The spelling of 105871867 in words is "one hundred five million, eight hundred seventy-one thousand, eight hundred sixty-seven".