103428 has 54 divisors (see below), whose sum is σ = 299754. Its totient is φ = 29952.

The previous prime is 103423. The next prime is 103451. The reversal of 103428 is 824301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 101124 = 48^2 + 318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 103428.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103428.

It is not an unprimeable number, because it can be changed into a prime (103421) by changing a digit.

103428 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 (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6076 + ... + 6092.

It is an arithmetic number, because the mean of its divisors is an integer number (5551).

2¹⁰³⁴²⁸ is an apocalyptic number.

103428 is a gapful number since it is divisible by the number (18) 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 103428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149877).

103428 is an abundant number, since it is smaller than the sum of its proper divisors (196326).

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

103428 is a wasteful number, since it uses less digits than its factorization.

103428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103428 is about 321.6022387982. The cubic root of 103428 is about 46.9403196025.

Adding to 103428 its reverse (824301), we get a palindrome (927729).

The spelling of 103428 in words is "one hundred three thousand, four hundred twenty-eight".