105032 has 16 divisors (see below), whose sum is σ = 207600. Its totient is φ = 49680.

The previous prime is 105031. The next prime is 105037. The reversal of 105032 is 230501.

It is a super-2 number, since 2×105032² = 22063442048, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105032.

It is not an unprimeable number, because it can be changed into a prime (105031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (12975).

2¹⁰⁵⁰³² is an apocalyptic number.

It is an amenable number.

105032 is a deficient number, since it is larger than the sum of its proper divisors (102568).

105032 is a wasteful number, since it uses less digits than its factorization.

105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105032 is about 324.0864082309. The cubic root of 105032 is about 47.1817318944.

Adding to 105032 its reverse (230501), we get a palindrome (335533).

The spelling of 105032 in words is "one hundred five thousand, thirty-two".