103032 has 48 divisors (see below), whose sum is σ = 294840. Its totient is φ = 33696.

The previous prime is 103007. The next prime is 103043. The reversal of 103032 is 230301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103032.

It is an unprimeable number.

103032 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 11 ways as a sum of consecutive naturals, for example, 1918 + ... + 1970.

2¹⁰³⁰³² is an apocalyptic number.

103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

103032 is an abundant number, since it is smaller than the sum of its proper divisors (191808).

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

103032 is an equidigital number, since it uses as much as digits as its factorization.

103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103032 is about 320.9859810023. The cubic root of 103032 is about 46.8803353927.

Adding to 103032 its reverse (230301), we get a palindrome (333333).

The spelling of 103032 in words is "one hundred three thousand, thirty-two".