180105 has 8 divisors (see below), whose sum is σ = 288192. Its totient is φ = 96048.

The previous prime is 180097. The next prime is 180137. The reversal of 180105 is 501081.

It is a happy number.

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

It is not a de Polignac number, because 180105 - 2³ = 180097 is a prime.

It is a super-2 number, since 2×180105² = 64875622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 12007 = 180105 / (1 + 8 + 0 + 1 + 0 + 5).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 5989 + ... + 6018.

It is an arithmetic number, because the mean of its divisors is an integer number (36024).

2¹⁸⁰¹⁰⁵ is an apocalyptic number.

180105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180105 is a deficient number, since it is larger than the sum of its proper divisors (108087).

180105 is a wasteful number, since it uses less digits than its factorization.

180105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 180105 is about 424.3877943579. The cubic root of 180105 is about 56.4731383525.

Adding to 180105 its reverse (501081), we get a palindrome (681186).

The spelling of 180105 in words is "one hundred eighty thousand, one hundred five".