180105921048 has 128 divisors (see below), whose sum is σ = 483802502400. Its totient is φ = 55671791616.

The previous prime is 180105921043. The next prime is 180105921059. The reversal of 180105921048 is 840129501081.

It is a junction number, because it is equal to n+sod(n) for n = 180105920997 and 180105921015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180105921043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12827440 + ... + 12841472.

It is an arithmetic number, because the mean of its divisors is an integer number (3779707050).

Almost surely, 2^180105921048 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 180105921048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241901251200).

180105921048 is an abundant number, since it is smaller than the sum of its proper divisors (303696581352).

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

180105921048 is a wasteful number, since it uses less digits than its factorization.

180105921048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14521 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 180105921048 in words is "one hundred eighty billion, one hundred five million, nine hundred twenty-one thousand, forty-eight".