180106880 has 64 divisors (see below), whose sum is σ = 432341280. Its totient is φ = 71746560.

The previous prime is 180106853. The next prime is 180106889. The reversal of 180106880 is 88601081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (180106889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221675 + ... + 222485.

Almost surely, 2^180106880 is an apocalyptic number.

180106880 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 180106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216170640).

180106880 is an abundant number, since it is smaller than the sum of its proper divisors (252234400).

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

180106880 is an equidigital number, since it uses as much as digits as its factorization.

180106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 180106880 is about 13420.3904563168. The cubic root of 180106880 is about 564.7333484735.

The spelling of 180106880 in words is "one hundred eighty million, one hundred six thousand, eight hundred eighty".