103980 has 24 divisors (see below), whose sum is σ = 291312. Its totient is φ = 27712.

The previous prime is 103979. The next prime is 103981. The reversal of 103980 is 89301.

It is an interprime number because it is at equal distance from previous prime (103979) and next prime (103981).

It is not an unprimeable number, because it can be changed into a prime (103981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (12138).

2¹⁰³⁹⁸⁰ is an apocalyptic number.

103980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103980 is an abundant number, since it is smaller than the sum of its proper divisors (187332).

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

103980 is a wasteful number, since it uses less digits than its factorization.

103980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 103980 is about 322.4592997573. The cubic root of 103980 is about 47.0236790295.

Adding to 103980 its product of nonzero digits (216), we get a triangular number (104196 = T₄₅₆).

The spelling of 103980 in words is "one hundred three thousand, nine hundred eighty".