180106320 has 160 divisors (see below), whose sum is σ = 594247680. Its totient is φ = 44997120.

The previous prime is 180106319. The next prime is 180106357. The reversal of 180106320 is 23601081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578965 + ... + 579275.

It is an arithmetic number, because the mean of its divisors is an integer number (3714048).

Almost surely, 2^180106320 is an apocalyptic number.

180106320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

180106320 is an abundant number, since it is smaller than the sum of its proper divisors (414141360).

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

180106320 is a wasteful number, since it uses less digits than its factorization.

180106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 180106320 is about 13420.3695925261. The cubic root of 180106320 is about 564.7327631710.

The spelling of 180106320 in words is "one hundred eighty million, one hundred six thousand, three hundred twenty".