108243216000 has 800 divisors, whose sum is σ = 427144154580. Its totient is φ = 27166924800.

The previous prime is 108243215959. The next prime is 108243216023. The reversal of 108243216000 is 612342801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

108243216000 is a `hidden beast` number, since 1 + 0 + 8 + 24 + 32 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 23270976 + 108219945024 = 4824^2 + 328968^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6367247992 + ... + 6367248008.

Almost surely, 2^108243216000 is an apocalyptic number.

108243216000 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 108243216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213572077290).

108243216000 is an abundant number, since it is smaller than the sum of its proper divisors (318900938580).

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

108243216000 is an frugal number, since it uses more digits than its factorization.

108243216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 108243216000 its reverse (612342801), we get a palindrome (108855558801).

The spelling of 108243216000 in words is "one hundred eight billion, two hundred forty-three million, two hundred sixteen thousand".