108818640 has 200 divisors, whose sum is σ = 432115200. Its totient is φ = 24862464.

The previous prime is 108818639. The next prime is 108818651. The reversal of 108818640 is 46818801.

108818640 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 1 + 8 + 640 = 666.

It is a super-2 number, since 2×108818640² = 23682992822899200, which contains 22 as substring.

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 = 108818595 and 108818604.

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 39 ways as a sum of consecutive naturals, for example, 44161 + ... + 46559.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2^108818640 is an apocalyptic number.

108818640 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 108818640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

108818640 is an abundant number, since it is smaller than the sum of its proper divisors (323296560).

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

108818640 is a wasteful number, since it uses less digits than its factorization.

108818640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 108818640 is about 10431.6173242695. The cubic root of 108818640 is about 477.4205381145.

The spelling of 108818640 in words is "one hundred eight million, eight hundred eighteen thousand, six hundred forty".