180105984 has 144 divisors (see below), whose sum is σ = 541578240. Its totient is φ = 59028480.

The previous prime is 180105949. The next prime is 180106027. The reversal of 180105984 is 489501081.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 490569 + ... + 490935.

It is an arithmetic number, because the mean of its divisors is an integer number (3760960).

Almost surely, 2^180105984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270789120).

180105984 is an abundant number, since it is smaller than the sum of its proper divisors (361472256).

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

180105984 is an equidigital number, since it uses as much as digits as its factorization.

180105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 180105984 is about 13420.3570742361. The cubic root of 180105984 is about 564.7324119889.

The spelling of 180105984 in words is "one hundred eighty million, one hundred five thousand, nine hundred eighty-four".