105303 has 8 divisors (see below), whose sum is σ = 153216. Its totient is φ = 63800.

The previous prime is 105277. The next prime is 105319. The reversal of 105303 is 303501.

It is a happy number.

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

It is not a de Polignac number, because 105303 - 2⁶ = 105239 is a prime.

It is a super-2 number, since 2×105303² = 22177443618, which contains 22 as substring.

105303 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2¹⁰⁵³⁰³ is an apocalyptic number.

105303 is a deficient number, since it is larger than the sum of its proper divisors (47913).

105303 is a wasteful number, since it uses less digits than its factorization.

105303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 105303 is about 324.5042372605. The cubic root of 105303 is about 47.2222759451. Note that the first 4 decimals are identical.

Adding to 105303 its reverse (303501), we get a palindrome (408804).

The spelling of 105303 in words is "one hundred five thousand, three hundred three".