180923106 has 64 divisors (see below), whose sum is σ = 464744448. Its totient is φ = 45638208.

The previous prime is 180923089. The next prime is 180923107. The reversal of 180923106 is 601329081.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (180923107) 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 31 ways as a sum of consecutive naturals, for example, 5355 + ... + 19761.

It is an arithmetic number, because the mean of its divisors is an integer number (7261632).

Almost surely, 2^180923106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180923106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232372224).

180923106 is an abundant number, since it is smaller than the sum of its proper divisors (283821342).

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

180923106 is a wasteful number, since it uses less digits than its factorization.

180923106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 180923106 is about 13450.7660004923. The cubic root of 180923106 is about 565.5851676151.

The spelling of 180923106 in words is "one hundred eighty million, nine hundred twenty-three thousand, one hundred six".