103580 has 12 divisors (see below), whose sum is σ = 217560. Its totient is φ = 41424.

The previous prime is 103577. The next prime is 103583. The reversal of 103580 is 85301.

It is an interprime number because it is at equal distance from previous prime (103577) and next prime (103583).

It is a super-3 number, since 3×103580³ = 3333872408136000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103583) 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, 2570 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (18130).

2¹⁰³⁵⁸⁰ is an apocalyptic number.

103580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103580 is an abundant number, since it is smaller than the sum of its proper divisors (113980).

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

103580 is a wasteful number, since it uses less digits than its factorization.

103580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 103580 is about 321.8384688007. The cubic root of 103580 is about 46.9633031795.

Adding to 103580 its reverse (85301), we get a palindrome (188881).

The spelling of 103580 in words is "one hundred three thousand, five hundred eighty".