103128 has 16 divisors (see below), whose sum is σ = 257880. Its totient is φ = 34368.

The previous prime is 103123. The next prime is 103141. The reversal of 103128 is 821301.

It is a happy number.

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 103128.

It is not an unprimeable number, because it can be changed into a prime (103123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2125 + ... + 2172.

2¹⁰³¹²⁸ is an apocalyptic number.

It is an amenable number.

103128 is an abundant number, since it is smaller than the sum of its proper divisors (154752).

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

103128 is a wasteful number, since it uses less digits than its factorization.

103128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4302 counting only the distinct ones).

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

The square root of 103128 is about 321.1354854263. The cubic root of 103128 is about 46.8948911137.

Adding to 103128 its reverse (821301), we get a palindrome (924429).

It can be divided in two parts, 103 and 128, that added together give a triangular number (231 = T₂₁).

The spelling of 103128 in words is "one hundred three thousand, one hundred twenty-eight".