180105314 has 8 divisors (see below), whose sum is σ = 270568668. Its totient is φ = 89915760.

The previous prime is 180105287. The next prime is 180105323. The reversal of 180105314 is 413501081.

180105314 is digitally balanced in base 3, 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 176438089 + 3667225 = 13283^2 + 1915^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×180105314³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180105314.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66797 + ... + 69440.

Almost surely, 2^180105314 is an apocalyptic number.

180105314 is a deficient number, since it is larger than the sum of its proper divisors (90463354).

180105314 is a wasteful number, since it uses less digits than its factorization.

180105314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136900.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 180105314 is about 13420.3321121349. The cubic root of 180105314 is about 564.7317117139.

Adding to 180105314 its reverse (413501081), we get a palindrome (593606395).

The spelling of 180105314 in words is "one hundred eighty million, one hundred five thousand, three hundred fourteen".