108057840 has 180 divisors, whose sum is σ = 374335416. Its totient is φ = 25766400.

The previous prime is 108057821. The next prime is 108057863. The reversal of 108057840 is 48750801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1771410 + ... + 1771470.

Almost surely, 2^108057840 is an apocalyptic number.

108057840 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 108057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187167708).

108057840 is an abundant number, since it is smaller than the sum of its proper divisors (266277576).

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

108057840 is a wasteful number, since it uses less digits than its factorization.

108057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 108057840 is about 10395.0873012207. The cubic root of 108057840 is about 476.3053145636.

The spelling of 108057840 in words is "one hundred eight million, fifty-seven thousand, eight hundred forty".