180106080 has 288 divisors, whose sum is σ = 714292992. Its totient is φ = 37340160.

The previous prime is 180106079. The next prime is 180106081. The reversal of 180106080 is 80601081.

It is an interprime number because it is at equal distance from previous prime (180106079) and next prime (180106081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180106080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180106081) 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 47 ways as a sum of consecutive naturals, for example, 406339 + ... + 406781.

It is an arithmetic number, because the mean of its divisors is an integer number (2480184).

Almost surely, 2^180106080 is an apocalyptic number.

180106080 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 180106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357146496).

180106080 is an abundant number, since it is smaller than the sum of its proper divisors (534186912).

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

180106080 is a wasteful number, since it uses less digits than its factorization.

180106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 180106080 is about 13420.3606508916. The cubic root of 180106080 is about 564.7325123267.

It can be divided in two parts, 18010 and 6080, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 180106080 in words is "one hundred eighty million, one hundred six thousand, eighty".