105353 has 4 divisors (see below), whose sum is σ = 106260. Its totient is φ = 104448.

The previous prime is 105341. The next prime is 105359. The reversal of 105353 is 353501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 51529 + 53824 = 227^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 105353 - 2⁴ = 105337 is a prime.

It is a super-2 number, since 2×105353² = 22198509218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (26565).

2¹⁰⁵³⁵³ is an apocalyptic number.

It is an amenable number.

105353 is a deficient number, since it is larger than the sum of its proper divisors (907).

105353 is an equidigital number, since it uses as much as digits as its factorization.

105353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 105353 is about 324.5812687140. The cubic root of 105353 is about 47.2297487939.

Adding to 105353 its reverse (353501), we get a palindrome (458854).

The spelling of 105353 in words is "one hundred five thousand, three hundred fifty-three".