101832 has 16 divisors (see below), whose sum is σ = 254640. Its totient is φ = 33936.

The previous prime is 101807. The next prime is 101833. The reversal of 101832 is 238101.

It is a happy number.

101832 is nontrivially palindromic in base 13.

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

It is not an unprimeable number, because it can be changed into a prime (101833) by changing a digit.

101832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2098 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (15915).

2¹⁰¹⁸³² is an apocalyptic number.

101832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101832 is an abundant number, since it is smaller than the sum of its proper divisors (152808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101832 is a wasteful number, since it uses less digits than its factorization.

101832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101832 is about 319.1112658619. Note that the first 3 decimals coincide. The cubic root of 101832 is about 46.6976211863.

Adding to 101832 its reverse (238101), we get a palindrome (339933).

The spelling of 101832 in words is "one hundred one thousand, eight hundred thirty-two".