108117030240 has 288 divisors, whose sum is σ = 373232059200. Its totient is φ = 28497899520.

The previous prime is 108117030239. The next prime is 108117030269. The reversal of 108117030240 is 42030711801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128863741 + ... + 128864579.

It is an arithmetic number, because the mean of its divisors is an integer number (1295944650).

Almost surely, 2^108117030240 is an apocalyptic number.

108117030240 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 108117030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186616029600).

108117030240 is an abundant number, since it is smaller than the sum of its proper divisors (265115028960).

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

108117030240 is a wasteful number, since it uses less digits than its factorization.

108117030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 108117030240 in words is "one hundred eight billion, one hundred seventeen million, thirty thousand, two hundred forty".