103830 has 16 divisors (see below), whose sum is σ = 249264. Its totient is φ = 27680.

The previous prime is 103813. The next prime is 103837. The reversal of 103830 is 38301.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103837) by changing a digit.

103830 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 7 ways as a sum of consecutive naturals, for example, 1701 + ... + 1760.

It is an arithmetic number, because the mean of its divisors is an integer number (15579).

2¹⁰³⁸³⁰ is an apocalyptic number.

103830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103830 is an abundant number, since it is smaller than the sum of its proper divisors (145434).

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

103830 is a wasteful number, since it uses less digits than its factorization.

103830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103830 is about 322.2266283224. The cubic root of 103830 is about 47.0010562612.

The spelling of 103830 in words is "one hundred three thousand, eight hundred thirty".