105730349 has 8 divisors (see below), whose sum is σ = 111238008. Its totient is φ = 100362240.

The previous prime is 105730343. The next prime is 105730363. The reversal of 105730349 is 943037501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46717225 + 59013124 = 6835^2 + 7682^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105730349 - 2¹⁶ = 105664813 is a prime.

It is a super-2 number, since 2×105730349² = 22357813399323602, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105730343) 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 in 7 ways as a sum of consecutive naturals, for example, 33332 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (13904751).

Almost surely, 2^105730349 is an apocalyptic number.

It is an amenable number.

105730349 is a deficient number, since it is larger than the sum of its proper divisors (5507659).

105730349 is an equidigital number, since it uses as much as digits as its factorization.

105730349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69775.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 105730349 is about 10282.5263918942. The cubic root of 105730349 is about 472.8607012177.

The spelling of 105730349 in words is "one hundred five million, seven hundred thirty thousand, three hundred forty-nine".