109135775840 has 384 divisors, whose sum is σ = 337447047168. Its totient is φ = 32368066560.

The previous prime is 109135775821. The next prime is 109135775849. The reversal of 109135775840 is 48577531901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109135775849) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 67077107 + ... + 67078733.

It is an arithmetic number, because the mean of its divisors is an integer number (878768352).

Almost surely, 2^109135775840 is an apocalyptic number.

109135775840 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 109135775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168723523584).

109135775840 is an abundant number, since it is smaller than the sum of its proper divisors (228311271328).

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

109135775840 is a wasteful number, since it uses less digits than its factorization.

109135775840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 109135775840 in words is "one hundred nine billion, one hundred thirty-five million, seven hundred seventy-five thousand, eight hundred forty".