180105408 has 168 divisors, whose sum is σ = 621304320. Its totient is φ = 48729600.

The previous prime is 180105407. The next prime is 180105413. The reversal of 180105408 is 804501081.

180105408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (180105407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75433 + ... + 77783.

It is an arithmetic number, because the mean of its divisors is an integer number (3698240).

Almost surely, 2^180105408 is an apocalyptic number.

180105408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310652160).

180105408 is an abundant number, since it is smaller than the sum of its proper divisors (441198912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180105408 is a wasteful number, since it uses less digits than its factorization.

180105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 180105408 is about 13420.3356142833. The cubic root of 180105408 is about 564.7318099615.

Adding to 180105408 its reverse (804501081), we get a palindrome (984606489).

The spelling of 180105408 in words is "one hundred eighty million, one hundred five thousand, four hundred eight".