103880 has 48 divisors (see below), whose sum is σ = 277020. Its totient is φ = 34944.

The previous prime is 103867. The next prime is 103889. The reversal of 103880 is 88301.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 196 = 322^2 + 14^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103889) by changing a digit.

103880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1934 + ... + 1986.

2¹⁰³⁸⁸⁰ is an apocalyptic number.

103880 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 103880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138510).

103880 is an abundant number, since it is smaller than the sum of its proper divisors (173140).

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

103880 is a wasteful number, since it uses less digits than its factorization.

103880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 103880 is about 322.3042041302. The cubic root of 103880 is about 47.0085996034.

The spelling of 103880 in words is "one hundred three thousand, eight hundred eighty".