105232533 has 32 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 56340480.

The previous prime is 105232511. The next prime is 105232537. The reversal of 105232533 is 335232501.

It is a happy number.

It is not a de Polignac number, because 105232533 - 2⁹ = 105232021 is a prime.

It is a super-2 number, since 2×105232533² = 22147772003192178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99793 + ... + 100841.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^105232533 is an apocalyptic number.

It is an amenable number.

105232533 is a deficient number, since it is larger than the sum of its proper divisors (65321067).

105232533 is a wasteful number, since it uses less digits than its factorization.

105232533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 105232533 is about 10258.2909395279. The cubic root of 105232533 is about 472.1174014315.

The spelling of 105232533 in words is "one hundred five million, two hundred thirty-two thousand, five hundred thirty-three".