10180 has 12 divisors (see below), whose sum is σ = 21420. Its totient is φ = 4064.

The previous prime is 10177. The next prime is 10181. The reversal of 10180 is 8101.

10180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 4096 = 78^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10181) 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 3 ways as a sum of consecutive naturals, for example, 235 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (1785).

2¹⁰¹⁸⁰ is an apocalyptic number.

10180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10180 is an abundant number, since it is smaller than the sum of its proper divisors (11240).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710).

10180 is a wasteful number, since it uses less digits than its factorization.

10180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10180 is about 100.8959860450. The cubic root of 10180 is about 21.6728450493.

Adding to 10180 its reverse (8101), we get a palindrome (18281).

It can be divided in two parts, 101 and 80, that added together give a palindrome (181).

The spelling of 10180 in words is "ten thousand, one hundred eighty".