109368000 has 504 divisors, whose sum is σ = 469782144. Its totient is φ = 24192000.

The previous prime is 109367981. The next prime is 109368001. The reversal of 109368000 is 863901.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×109368000² = 23922718848000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109368001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527985 + ... + 3528015.

Almost surely, 2^109368000 is an apocalyptic number.

109368000 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 109368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234891072).

109368000 is an abundant number, since it is smaller than the sum of its proper divisors (360414144).

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

109368000 is a wasteful number, since it uses less digits than its factorization.

109368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109368000 is about 10457.9156623105. The cubic root of 109368000 is about 478.2225931758. Note that the first 3 decimals are identical.

The spelling of 109368000 in words is "one hundred nine million, three hundred sixty-eight thousand".