105606373 has 2 divisors, whose sum is σ = 105606374. Its totient is φ = 105606372.

The previous prime is 105606349. The next prime is 105606377. The reversal of 105606373 is 373606501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 24930049 = 8982^2 + 4993^2 .

It is a cyclic number.

It is not a de Polignac number, because 105606373 - 2¹⁷ = 105475301 is a prime.

It is a super-3 number, since 3×105606373³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105606377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52803186 + 52803187.

It is an arithmetic number, because the mean of its divisors is an integer number (52803187).

Almost surely, 2^105606373 is an apocalyptic number.

It is an amenable number.

105606373 is a deficient number, since it is larger than the sum of its proper divisors (1).

105606373 is an equidigital number, since it uses as much as digits as its factorization.

105606373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 105606373 is about 10276.4961441145. The cubic root of 105606373 is about 472.6758085258.

The spelling of 105606373 in words is "one hundred five million, six hundred six thousand, three hundred seventy-three".