180112 has 10 divisors (see below), whose sum is σ = 348998. Its totient is φ = 90048.

The previous prime is 180097. The next prime is 180137. The reversal of 180112 is 211081.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 7056 = 416^2 + 84^2 .

It is an Ulam number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 180092 and 180101.

It is an unprimeable number.

180112 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 as a sum of consecutive naturals, namely, 5613 + ... + 5644.

2¹⁸⁰¹¹² is an apocalyptic number.

It is an amenable number.

180112 is a deficient number, since it is larger than the sum of its proper divisors (168886).

180112 is a wasteful number, since it uses less digits than its factorization.

180112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11265 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 180112 is about 424.3960414518. The cubic root of 180112 is about 56.4738699754.

Adding to 180112 its reverse (211081), we get a palindrome (391193).

It can be divided in two parts, 1801 and 12, that multiplied together give a palindrome (21612).

The spelling of 180112 in words is "one hundred eighty thousand, one hundred twelve".