180105105 has 16 divisors (see below), whose sum is σ = 288517824. Its totient is φ = 95939520.

The previous prime is 180105097. The next prime is 180105127. The reversal of 180105105 is 501501081.

It is not a de Polignac number, because 180105105 - 2³ = 180105097 is a prime.

It is a super-2 number, since 2×180105105² = 64875697694122050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6310 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (18032364).

Almost surely, 2^180105105 is an apocalyptic number.

180105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180105105 is a deficient number, since it is larger than the sum of its proper divisors (108412719).

180105105 is a wasteful number, since it uses less digits than its factorization.

180105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14576.

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 180105105 is about 13420.3243254401. The cubic root of 180105105 is about 564.7314932695.

Adding to 180105105 its reverse (501501081), we get a palindrome (681606186).

The spelling of 180105105 in words is "one hundred eighty million, one hundred five thousand, one hundred five".