108918000 has 160 divisors (see below), whose sum is σ = 390361920. Its totient is φ = 29030400.

The previous prime is 108917999. The next prime is 108918023. The reversal of 108918000 is 819801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52992 + ... + 55008.

It is an arithmetic number, because the mean of its divisors is an integer number (2439762).

Almost surely, 2^108918000 is an apocalyptic number.

108918000 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 108918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195180960).

108918000 is an abundant number, since it is smaller than the sum of its proper divisors (281443920).

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

108918000 is a wasteful number, since it uses less digits than its factorization.

108918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 108918000 is about 10436.3786822825. The cubic root of 108918000 is about 477.5658014451.

The spelling of 108918000 in words is "one hundred eight million, nine hundred eighteen thousand".