180116 has 12 divisors (see below), whose sum is σ = 323988. Its totient is φ = 87552.

The previous prime is 180097. The next prime is 180137. The reversal of 180116 is 611081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 64516 = 340^2 + 254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180094 and 180103.

It is a congruent number.

It is an unprimeable number.

180116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (26999).

2¹⁸⁰¹¹⁶ is an apocalyptic number.

It is an amenable number.

180116 is a deficient number, since it is larger than the sum of its proper divisors (143872).

180116 is a wasteful number, since it uses less digits than its factorization.

180116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 180116 is about 424.4007540050. The cubic root of 180116 is about 56.4742880371.

Adding to 180116 its reverse (611081), we get a palindrome (791197).

The spelling of 180116 in words is "one hundred eighty thousand, one hundred sixteen".