108395840 has 168 divisors, whose sum is σ = 311334912. Its totient is φ = 35804160.

The previous prime is 108395839. The next prime is 108395857. The reversal of 108395840 is 48593801.

It is a junction number, because it is equal to n+sod(n) for n = 108395794 and 108395803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485969 + ... + 486191.

It is an arithmetic number, because the mean of its divisors is an integer number (1853184).

Almost surely, 2^108395840 is an apocalyptic number.

108395840 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 108395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

108395840 is an abundant number, since it is smaller than the sum of its proper divisors (202939072).

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

108395840 is a wasteful number, since it uses less digits than its factorization.

108395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 108395840 is about 10411.3322874645. The cubic root of 108395840 is about 476.8014181001.

The spelling of 108395840 in words is "one hundred eight million, three hundred ninety-five thousand, eight hundred forty".