109968000 has 256 divisors, whose sum is σ = 381888000. Its totient is φ = 27955200.

The previous prime is 109967999. The next prime is 109968013. The reversal of 109968000 is 869901.

It is a happy number.

It is a super-2 number, since 2×109968000² = 24185922048000000, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1391961 + ... + 1392039.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^109968000 is an apocalyptic number.

109968000 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 109968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

109968000 is an abundant number, since it is smaller than the sum of its proper divisors (271920000).

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

109968000 is an equidigital number, since it uses as much as digits as its factorization.

109968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 109968000 is about 10486.5628305942. The cubic root of 109968000 is about 479.0955189470.

The spelling of 109968000 in words is "one hundred nine million, nine hundred sixty-eight thousand".