101800559844 has 81 divisors (see below), whose sum is σ = 263962113051. Its totient is φ = 33080348160.

The previous prime is 101800559801. The next prime is 101800559849. The reversal of 101800559844 is 448955008101.

It is a happy number.

The square root of 101800559844 is 319062.

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

101800559844 is a `hidden beast` number, since 1 + 0 + 18 + 0 + 0 + 5 + 598 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2772022500 + 99028537344 = 52650^2 + 314688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101800559844.

It is not an unprimeable number, because it can be changed into a prime (101800559849) 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 26 ways as a sum of consecutive naturals, for example, 78488604 + ... + 78489900.

Almost surely, 2^101800559844 is an apocalyptic number.

101800559844 is the 319062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101800559844

101800559844 is an abundant number, since it is smaller than the sum of its proper divisors (162161553207).

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

101800559844 is an equidigital number, since it uses as much as digits as its factorization.

101800559844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 101800559844 in words is "one hundred one billion, eight hundred million, five hundred fifty-nine thousand, eight hundred forty-four".