105030233 has 64 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 70502400.

The previous prime is 105030221. The next prime is 105030241. The reversal of 105030233 is 332030501.

It is not a de Polignac number, because 105030233 - 2⁶ = 105030169 is a prime.

It is a super-2 number, since 2×105030233² = 22062699688068578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (105030253) 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 63 ways as a sum of consecutive naturals, for example, 1019660 + ... + 1019762.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^105030233 is an apocalyptic number.

It is an amenable number.

105030233 is a deficient number, since it is larger than the sum of its proper divisors (45927847).

105030233 is a wasteful number, since it uses less digits than its factorization.

105030233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 105030233 is about 10248.4258791290. The cubic root of 105030233 is about 471.8146730650.

Adding to 105030233 its reverse (332030501), we get a palindrome (437060734).

The spelling of 105030233 in words is "one hundred five million, thirty thousand, two hundred thirty-three".