108108000 has 768 divisors, whose sum is σ = 528353280. Its totient is φ = 20736000.

The previous prime is 108107999. The next prime is 108108017. The reversal of 108108000 is 801801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8315994 + ... + 8316006.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^108108000 is an apocalyptic number.

108108000 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 108108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

108108000 is an abundant number, since it is smaller than the sum of its proper divisors (420245280).

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

108108000 is a wasteful number, since it uses less digits than its factorization.

108108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 108108000 is about 10397.4996994470. The cubic root of 108108000 is about 476.3790028117.

Adding to 108108000 its reverse (801801), we get a palindrome (108909801).

The spelling of 108108000 in words is "one hundred eight million, one hundred eight thousand".