108921131827200 has 7344 divisors, whose sum is σ = 566518138018560. Its totient is φ = 20180474265600.

The previous prime is 108921131827187. The next prime is 108921131827229. The reversal of 108921131827200 is 2728131129801.

108921131827200 is a `hidden beast` number, since 1 + 0 + 89 + 211 + 318 + 27 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5732691148791 + ... + 5732691148809.

Almost surely, 2^{108921131827200} is an apocalyptic number.

108921131827200 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 108921131827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283259069009280).

108921131827200 is an abundant number, since it is smaller than the sum of its proper divisors (457597006191360).

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

108921131827200 is an equidigital number, since it uses as much as digits as its factorization.

108921131827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 108921131827200 in words is "one hundred eight trillion, nine hundred twenty-one billion, one hundred thirty-one million, eight hundred twenty-seven thousand, two hundred".