105091867 has 2 divisors, whose sum is σ = 105091868. Its totient is φ = 105091866.

The previous prime is 105091849. The next prime is 105091873. The reversal of 105091867 is 768190501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105091867 - 2¹¹ = 105089819 is a prime.

It is a super-3 number, since 3×105091867³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105091067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52545933 + 52545934.

It is an arithmetic number, because the mean of its divisors is an integer number (52545934).

Almost surely, 2^105091867 is an apocalyptic number.

105091867 is a deficient number, since it is larger than the sum of its proper divisors (1).

105091867 is an equidigital number, since it uses as much as digits as its factorization.

105091867 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 105091867 is about 10251.4324364939. The cubic root of 105091867 is about 471.9069453513.

The spelling of 105091867 in words is "one hundred five million, ninety-one thousand, eight hundred sixty-seven".