105933673 has 2 divisors, whose sum is σ = 105933674. Its totient is φ = 105933672.

The previous prime is 105933671. The next prime is 105933739. The reversal of 105933673 is 376339501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53978409 + 51955264 = 7347^2 + 7208^2 .

It is a cyclic number.

It is not a de Polignac number, because 105933673 - 2¹ = 105933671 is a prime.

It is a super-2 number, since 2×105933673² = 22443886150541858, which contains 22 as substring.

Together with 105933671, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105933671) 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, 52966836 + 52966837.

It is an arithmetic number, because the mean of its divisors is an integer number (52966837).

Almost surely, 2^105933673 is an apocalyptic number.

It is an amenable number.

105933673 is a deficient number, since it is larger than the sum of its proper divisors (1).

105933673 is an equidigital number, since it uses as much as digits as its factorization.

105933673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 37.

The square root of 105933673 is about 10292.4085130741. The cubic root of 105933673 is about 473.1636176028.

The spelling of 105933673 in words is "one hundred five million, nine hundred thirty-three thousand, six hundred seventy-three".