103140 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 27360.

The previous prime is 103123. The next prime is 103141. The reversal of 103140 is 41301.

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

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 103140.

It is not an unprimeable number, because it can be changed into a prime (103141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹⁰³¹⁴⁰ is an apocalyptic number.

103140 is a gapful number since it is divisible by the number (10) 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 103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

103140 is an abundant number, since it is smaller than the sum of its proper divisors (219420).

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

103140 is a wasteful number, since it uses less digits than its factorization.

103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103140 is about 321.1541685857. The cubic root of 103140 is about 46.8967099436.

Adding to 103140 its reverse (41301), we get a palindrome (144441).

It can be divided in two parts, 103 and 140, that added together give a 5-th power (243 = 3⁵).

The spelling of 103140 in words is "one hundred three thousand, one hundred forty", and thus it is an iban number.