105120033 has 8 divisors (see below), whose sum is σ = 141230496. Its totient is φ = 69544800.

The previous prime is 105120013. The next prime is 105120107. The reversal of 105120033 is 330021501.

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 105120033 - 2¹⁶ = 105054497 is a prime.

It is a super-2 number, since 2×105120033² = 22100442675842178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105119994 and 105120021.

It is not an unprimeable number, because it can be changed into a prime (105120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133348 + ... + 134133.

It is an arithmetic number, because the mean of its divisors is an integer number (17653812).

Almost surely, 2^105120033 is an apocalyptic number.

It is an amenable number.

105120033 is a deficient number, since it is larger than the sum of its proper divisors (36110463).

105120033 is a wasteful number, since it uses less digits than its factorization.

105120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267615.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105120033 is about 10252.8061036967. The cubic root of 105120033 is about 471.9491006710.

Adding to 105120033 its reverse (330021501), we get a palindrome (435141534).

The spelling of 105120033 in words is "one hundred five million, one hundred twenty thousand, thirty-three".