109872000 has 384 divisors, whose sum is σ = 455083200. Its totient is φ = 24883200.

The previous prime is 109871959. The next prime is 109872011. The reversal of 109872000 is 278901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1007946 + ... + 1008054.

Almost surely, 2^109872000 is an apocalyptic number.

109872000 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 109872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227541600).

109872000 is an abundant number, since it is smaller than the sum of its proper divisors (345211200).

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

109872000 is a wasteful number, since it uses less digits than its factorization.

109872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 109872000 is about 10481.9845449228. The cubic root of 109872000 is about 478.9560645601.

The spelling of 109872000 in words is "one hundred nine million, eight hundred seventy-two thousand".