108144816532900 has 405 divisors, whose sum is σ = 289196573365539. Its totient is φ = 35095290007680.

The previous prime is 108144816532877. The next prime is 108144816532903. The reversal of 108144816532900 is 9235618441801.

The square root of 108144816532900 is 10399270.

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

108144816532900 is digitally balanced in base 3, 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 46519302096036 + 61625514436864 = 6820506^2 + 7850192^2 .

It is not an unprimeable number, because it can be changed into a prime (108144816532903) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 96817203142 + ... + 96817204258.

Almost surely, 2^{108144816532900} is an apocalyptic number.

108144816532900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108144816532900 is the 10399270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108144816532900

108144816532900 is an abundant number, since it is smaller than the sum of its proper divisors (181051756832639).

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

108144816532900 is an frugal number, since it uses more digits than its factorization.

108144816532900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 108144816532900 in words is "one hundred eight trillion, one hundred forty-four billion, eight hundred sixteen million, five hundred thirty-two thousand, nine hundred".