103728 has 20 divisors (see below), whose sum is σ = 268088. Its totient is φ = 34560.

The previous prime is 103723. The next prime is 103769. The reversal of 103728 is 827301.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103723) by changing a digit.

103728 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1033 + ... + 1128.

2¹⁰³⁷²⁸ is an apocalyptic number.

It is an amenable number.

103728 is an abundant number, since it is smaller than the sum of its proper divisors (164360).

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

103728 is a wasteful number, since it uses less digits than its factorization.

103728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 103728 is about 322.0683157344. The cubic root of 103728 is about 46.9856603304.

The spelling of 103728 in words is "one hundred three thousand, seven hundred twenty-eight".