105533105 has 8 divisors (see below), whose sum is σ = 126700200. Its totient is φ = 84386176.

The previous prime is 105533081. The next prime is 105533143. The reversal of 105533105 is 501335501.

It can be written as a sum of positive squares in 4 ways, for example, as 5513104 + 100020001 = 2348^2 + 10001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105533105 - 2⁶ = 105533041 is a prime.

It is a super-2 number, since 2×105533105² = 22274472501882050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11291 + ... + 18399.

It is an arithmetic number, because the mean of its divisors is an integer number (15837525).

Almost surely, 2^105533105 is an apocalyptic number.

It is an amenable number.

105533105 is a deficient number, since it is larger than the sum of its proper divisors (21167095).

105533105 is an equidigital number, since it uses as much as digits as its factorization.

105533105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 105533105 is about 10272.9306918717. The cubic root of 105533105 is about 472.5664716165.

Adding to 105533105 its reverse (501335501), we get a palindrome (606868606).

The spelling of 105533105 in words is "one hundred five million, five hundred thirty-three thousand, one hundred five".