108378000 has 240 divisors, whose sum is σ = 394308096. Its totient is φ = 28771200.

The previous prime is 108377993. The next prime is 108378031. The reversal of 108378000 is 873801.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485889 + ... + 486111.

Almost surely, 2^108378000 is an apocalyptic number.

108378000 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 108378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197154048).

108378000 is an abundant number, since it is smaller than the sum of its proper divisors (285930096).

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

108378000 is an equidigital number, since it uses as much as digits as its factorization.

108378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 108378000 is about 10410.4754934633. The cubic root of 108378000 is about 476.7752590273.

The spelling of 108378000 in words is "one hundred eight million, three hundred seventy-eight thousand".