108081174240 has 288 divisors, whose sum is σ = 406438512480. Its totient is φ = 25985691648.

The previous prime is 108081174239. The next prime is 108081174277. The reversal of 108081174240 is 42471180801.

108081174240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108081174195 and 108081174204.

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, 737826 + ... + 872094.

It is an arithmetic number, because the mean of its divisors is an integer number (1411244835).

Almost surely, 2^108081174240 is an apocalyptic number.

108081174240 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 108081174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203219256240).

108081174240 is an abundant number, since it is smaller than the sum of its proper divisors (298357338240).

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

108081174240 is a wasteful number, since it uses less digits than its factorization.

108081174240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134346 (or 134335 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 108081174240 in words is "one hundred eight billion, eighty-one million, one hundred seventy-four thousand, two hundred forty".