103080 has 32 divisors (see below), whose sum is σ = 309600. Its totient is φ = 27456.

The previous prime is 103079. The next prime is 103087. The reversal of 103080 is 80301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 310 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (9675).

2¹⁰³⁰⁸⁰ is an apocalyptic number.

103080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103080 is an abundant number, since it is smaller than the sum of its proper divisors (206520).

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

103080 is a wasteful number, since it uses less digits than its factorization.

103080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103080 is about 321.0607419165. The cubic root of 103080 is about 46.8876143829.

Adding to 103080 its reverse (80301), we get a palindrome (183381).

The spelling of 103080 in words is "one hundred three thousand, eighty".