108199195901440 has 320 divisors, whose sum is σ = 313733265500160. Its totient is φ = 34984176353280.

The previous prime is 108199195901383. The next prime is 108199195901543. The reversal of 108199195901440 is 44109591991801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27414646 + ... + 31112074.

It is an arithmetic number, because the mean of its divisors is an integer number (980416454688).

Almost surely, 2^{108199195901440} is an apocalyptic number.

108199195901440 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 108199195901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156866632750080).

108199195901440 is an abundant number, since it is smaller than the sum of its proper divisors (205534069598720).

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

108199195901440 is an equidigital number, since it uses as much as digits as its factorization.

108199195901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697553 (or 3697537 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 61.

The spelling of 108199195901440 in words is "one hundred eight trillion, one hundred ninety-nine billion, one hundred ninety-five million, nine hundred one thousand, four hundred forty".