105305133 has 8 divisors (see below), whose sum is σ = 140457888. Its totient is φ = 70177904.

The previous prime is 105305107. The next prime is 105305143. The reversal of 105305133 is 331503501.

It is a happy number.

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 105305133 - 2⁶ = 105305069 is a prime.

It is a super-2 number, since 2×105305133² = 22178342072295378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305143) 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, 7666 + ... + 16412.

It is an arithmetic number, because the mean of its divisors is an integer number (17557236).

Almost surely, 2^105305133 is an apocalyptic number.

It is an amenable number.

105305133 is a deficient number, since it is larger than the sum of its proper divisors (35152755).

105305133 is an equidigital number, since it uses as much as digits as its factorization.

105305133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 105305133 is about 10261.8289305562. The cubic root of 105305133 is about 472.2259478512.

Adding to 105305133 its reverse (331503501), we get a palindrome (436808634).

The spelling of 105305133 in words is "one hundred five million, three hundred five thousand, one hundred thirty-three".