105033 has 8 divisors (see below), whose sum is σ = 141568. Its totient is φ = 69264.

The previous prime is 105031. The next prime is 105037. The reversal of 105033 is 330501.

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 105033 - 2¹ = 105031 is a prime.

It is a super-2 number, since 2×105033² = 22063862178, which contains 22 as substring.

It is a Duffinian number.

105033 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (17696).

2¹⁰⁵⁰³³ is an apocalyptic number.

It is an amenable number.

105033 is a deficient number, since it is larger than the sum of its proper divisors (36535).

105033 is a wasteful number, since it uses less digits than its factorization.

105033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

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

The square root of 105033 is about 324.0879510256. The cubic root of 105033 is about 47.1818816316.

Adding to 105033 its reverse (330501), we get a palindrome (435534).

The spelling of 105033 in words is "one hundred five thousand, thirty-three".