105605473 has 2 divisors, whose sum is σ = 105605474. Its totient is φ = 105605472.

The previous prime is 105605459. The next prime is 105605503. The reversal of 105605473 is 374506501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105206049 + 399424 = 10257^2 + 632^2 .

It is an emirp because it is prime and its reverse (374506501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105605473 is a prime.

It is a super-3 number, since 3×105605473³ (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 (105605273) 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, 52802736 + 52802737.

It is an arithmetic number, because the mean of its divisors is an integer number (52802737).

Almost surely, 2^105605473 is an apocalyptic number.

It is an amenable number.

105605473 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605473 is an equidigital number, since it uses as much as digits as its factorization.

105605473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 105605473 is about 10276.4523547769. The cubic root of 105605473 is about 472.6744657740.

The spelling of 105605473 in words is "one hundred five million, six hundred five thousand, four hundred seventy-three".