108241705600 has 576 divisors, whose sum is σ = 323610147000. Its totient is φ = 35645030400.

The previous prime is 108241705591. The next prime is 108241705697. The reversal of 108241705600 is 6507142801.

It can be written as a sum of positive squares in 12 ways, for example, as 32052457024 + 76189248576 = 179032^2 + 276024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 726454326 + ... + 726454474.

Almost surely, 2^108241705600 is an apocalyptic number.

108241705600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108241705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161805073500).

108241705600 is an abundant number, since it is smaller than the sum of its proper divisors (215368441400).

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

108241705600 is a wasteful number, since it uses less digits than its factorization.

108241705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

It can be divided in two parts, 108241 and 705600, that multiplied together give a square (76374849600 = 276360²).

The spelling of 108241705600 in words is "one hundred eight billion, two hundred forty-one million, seven hundred five thousand, six hundred".