105258033 has 12 divisors (see below), whose sum is σ = 160983108. Its totient is φ = 66044160.

The previous prime is 105258011. The next prime is 105258037. The reversal of 105258033 is 330852501.

105258033 is a `hidden beast` number, since 1 + 0 + 52 + 580 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79977249 + 25280784 = 8943^2 + 5028^2 .

It is not a de Polignac number, because 105258033 - 2¹⁸ = 104995889 is a prime.

It is a super-2 number, since 2×105258033² = 22158507022058178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105257988 and 105258006.

It is not an unprimeable number, because it can be changed into a prime (105258037) 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 11 ways as a sum of consecutive naturals, for example, 343828 + ... + 344133.

It is an arithmetic number, because the mean of its divisors is an integer number (13415259).

Almost surely, 2^105258033 is an apocalyptic number.

It is an amenable number.

105258033 is a deficient number, since it is larger than the sum of its proper divisors (55725075).

105258033 is a wasteful number, since it uses less digits than its factorization.

105258033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687984 (or 687981 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105258033 is about 10259.5337613363. The cubic root of 105258033 is about 472.1555329265.

The spelling of 105258033 in words is "one hundred five million, two hundred fifty-eight thousand, thirty-three".