180106388 has 48 divisors (see below), whose sum is σ = 394547328. Its totient is φ = 69888000.

The previous prime is 180106387. The next prime is 180106391. The reversal of 180106388 is 883601081.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180106387) 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 15 ways as a sum of consecutive naturals, for example, 85508 + ... + 87588.

It is an arithmetic number, because the mean of its divisors is an integer number (8219736).

Almost surely, 2^180106388 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 180106388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197273664).

180106388 is an abundant number, since it is smaller than the sum of its proper divisors (214440940).

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

180106388 is a wasteful number, since it uses less digits than its factorization.

180106388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 180106388 is about 13420.3721259882. The cubic root of 180106388 is about 564.7328342435.

The spelling of 180106388 in words is "one hundred eighty million, one hundred six thousand, three hundred eighty-eight".