109882140984 has 384 divisors, whose sum is σ = 398262458880. Its totient is φ = 26492313600.

The previous prime is 109882140913. The next prime is 109882141003. The reversal of 109882140984 is 489041288901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 109882140984.

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 95 ways as a sum of consecutive naturals, for example, 6872119 + ... + 6888089.

It is an arithmetic number, because the mean of its divisors is an integer number (1037141820).

Almost surely, 2^109882140984 is an apocalyptic number.

109882140984 is a gapful number since it is divisible by the number (14) 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 109882140984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199131229440).

109882140984 is an abundant number, since it is smaller than the sum of its proper divisors (288380317896).

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

109882140984 is a wasteful number, since it uses less digits than its factorization.

109882140984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16091 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 109882140984 in words is "one hundred nine billion, eight hundred eighty-two million, one hundred forty thousand, nine hundred eighty-four".