180105772 has 36 divisors (see below), whose sum is σ = 399979944. Its totient is φ = 70170240.

The previous prime is 180105763. The next prime is 180105773. The reversal of 180105772 is 277501081.

It is a happy number.

180105772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180105773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39613 + ... + 43924.

It is an arithmetic number, because the mean of its divisors is an integer number (11110554).

Almost surely, 2^180105772 is an apocalyptic number.

It is an amenable number.

180105772 is an abundant number, since it is smaller than the sum of its proper divisors (219874172).

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

180105772 is a wasteful number, since it uses less digits than its factorization.

180105772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83566 (or 83557 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 180105772 is about 13420.3491757853. The cubic root of 180105772 is about 564.7321904095.

The spelling of 180105772 in words is "one hundred eighty million, one hundred five thousand, seven hundred seventy-two".