180106872100 has 135 divisors (see below), whose sum is σ = 415064027301. Its totient is φ = 67834497600.

The previous prime is 180106872067. The next prime is 180106872103. The reversal of 180106872100 is 1278601081.

The square root of 180106872100 is 424390.

It is a perfect power (a square), and thus also a powerful number.

180106872100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 52620516 + 180054251584 = 7254^2 + 424328^2 .

It is not an unprimeable number, because it can be changed into a prime (180106872103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4867753282 + ... + 4867753318.

Almost surely, 2^180106872100 is an apocalyptic number.

180106872100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180106872100 is the 424390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180106872100

180106872100 is an abundant number, since it is smaller than the sum of its proper divisors (234957155201).

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

180106872100 is an frugal number, since it uses more digits than its factorization.

180106872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 180106872100 in words is "one hundred eighty billion, one hundred six million, eight hundred seventy-two thousand, one hundred".