180107088 has 80 divisors (see below), whose sum is σ = 533239680. Its totient is φ = 51314688.

The previous prime is 180107087. The next prime is 180107111. The reversal of 180107088 is 880701081.

180107088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180107087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193408 + ... + 194336.

It is an arithmetic number, because the mean of its divisors is an integer number (6665496).

Almost surely, 2^180107088 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 180107088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266619840).

180107088 is an abundant number, since it is smaller than the sum of its proper divisors (353132592).

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

180107088 is a wasteful number, since it uses less digits than its factorization.

180107088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The square root of 180107088 is about 13420.3982057166. The cubic root of 180107088 is about 564.7335658712.

The spelling of 180107088 in words is "one hundred eighty million, one hundred seven thousand, eighty-eight".