108191305040 has 320 divisors, whose sum is σ = 314394877440. Its totient is φ = 33713971200.

The previous prime is 108191305031. The next prime is 108191305051. The reversal of 108191305040 is 40503191801.

It is a junction number, because it is equal to n+sod(n) for n = 108191304988 and 108191305006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197790047 + ... + 197790593.

It is an arithmetic number, because the mean of its divisors is an integer number (982483992).

Almost surely, 2^108191305040 is an apocalyptic number.

108191305040 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 108191305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157197438720).

108191305040 is an abundant number, since it is smaller than the sum of its proper divisors (206203572400).

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

108191305040 is a wasteful number, since it uses less digits than its factorization.

108191305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Adding to 108191305040 its reverse (40503191801), we get a palindrome (148694496841).

The spelling of 108191305040 in words is "one hundred eight billion, one hundred ninety-one million, three hundred five thousand, forty".