180107 has 4 divisors (see below), whose sum is σ = 180960. Its totient is φ = 179256.

The previous prime is 180097. The next prime is 180137. The reversal of 180107 is 701081.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 701081 = 19 ⋅36899.

It is a cyclic number.

It is not a de Polignac number, because 180107 - 2⁶ = 180043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180137) 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, 158 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (45240).

2¹⁸⁰¹⁰⁷ is an apocalyptic number.

180107 is a deficient number, since it is larger than the sum of its proper divisors (853).

180107 is an equidigital number, since it uses as much as digits as its factorization.

180107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 180107 is about 424.3901506868. The cubic root of 180107 is about 56.4733473895.

Adding to 180107 its reverse (701081), we get a palindrome (881188).

It can be divided in two parts, 1 and 80107, that added together give a palindrome (80108).

The spelling of 180107 in words is "one hundred eighty thousand, one hundred seven".