105145033 has 24 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 87151680.

The previous prime is 105145013. The next prime is 105145081. The reversal of 105145033 is 330541501.

It is a happy number.

It is not a de Polignac number, because 105145033 - 2⁹ = 105144521 is a prime.

It is a super-2 number, since 2×105145033² = 22110955929142178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105144995 and 105145013.

It is not an unprimeable number, because it can be changed into a prime (105145003) 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 23 ways as a sum of consecutive naturals, for example, 399660 + ... + 399922.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2^105145033 is an apocalyptic number.

It is an amenable number.

105145033 is a deficient number, since it is larger than the sum of its proper divisors (21258167).

105145033 is a wasteful number, since it uses less digits than its factorization.

105145033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105145033 is about 10254.0252096433. The cubic root of 105145033 is about 471.9865112132.

Adding to 105145033 its reverse (330541501), we get a palindrome (435686534).

The spelling of 105145033 in words is "one hundred five million, one hundred forty-five thousand, thirty-three".