103180 has 48 divisors (see below), whose sum is σ = 274176. Its totient is φ = 31680.

The previous prime is 103177. The next prime is 103183. The reversal of 103180 is 81301.

It is an interprime number because it is at equal distance from previous prime (103177) and next prime (103183).

It is a super-2 number, since 2×103180² = 21292224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103183) 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 15 ways as a sum of consecutive naturals, for example, 1507 + ... + 1573.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2¹⁰³¹⁸⁰ is an apocalyptic number.

103180 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 103180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088).

103180 is an abundant number, since it is smaller than the sum of its proper divisors (170996).

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

103180 is a wasteful number, since it uses less digits than its factorization.

103180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 103180 is about 321.2164379355. The cubic root of 103180 is about 46.9027716912.

Adding to 103180 its reverse (81301), we get a palindrome (184481).

It can be divided in two parts, 1031 and 80, that added together give a palindrome (1111).

The spelling of 103180 in words is "one hundred three thousand, one hundred eighty".