180107941384900 has 81 divisors (see below), whose sum is σ = 393518576004519. Its totient is φ = 71551720407360.

The previous prime is 180107941384897. The next prime is 180107941384907. The reversal of 180107941384900 is 9483149701081.

It is a happy number.

The square root of 180107941384900 is 13420430.

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

180107941384900 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 4 ways, for example, as 53753795563204 + 126354145821696 = 7331698^2 + 11240736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180107941384907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19996436197 + ... + 19996445203.

Almost surely, 2^{180107941384900} is an apocalyptic number.

180107941384900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180107941384900 is the 13420430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180107941384900

180107941384900 is an abundant number, since it is smaller than the sum of its proper divisors (213410634619619).

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

180107941384900 is an frugal number, since it uses more digits than its factorization.

180107941384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18326 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 180107941384900 in words is "one hundred eighty trillion, one hundred seven billion, nine hundred forty-one million, three hundred eighty-four thousand, nine hundred".