101032 has 16 divisors (see below), whose sum is σ = 193140. Its totient is φ = 49536.

The previous prime is 101027. The next prime is 101051. The reversal of 101032 is 230101.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 7396 = 306^2 + 86^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 498 + ... + 670.

2¹⁰¹⁰³² is an apocalyptic number.

It is an amenable number.

101032 is a deficient number, since it is larger than the sum of its proper divisors (92108).

101032 is a wasteful number, since it uses less digits than its factorization.

101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101032 is about 317.8553129963. The cubic root of 101032 is about 46.5750128526.

Adding to 101032 its reverse (230101), we get a palindrome (331133).

The spelling of 101032 in words is "one hundred one thousand, thirty-two".