109408000 has 144 divisors (see below), whose sum is σ = 294630336. Its totient is φ = 40243200.

The previous prime is 109407997. The next prime is 109408009. The reversal of 109408000 is 804901.

It is a super-2 number, since 2×109408000² = 23940220928000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109408009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415869 + ... + 416131.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 2^109408000 is an apocalyptic number.

109408000 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 109408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

109408000 is an abundant number, since it is smaller than the sum of its proper divisors (185222336).

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

109408000 is an equidigital number, since it uses as much as digits as its factorization.

109408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 109408000 is about 10459.8279144544. The cubic root of 109408000 is about 478.2808874122.

The spelling of 109408000 in words is "one hundred nine million, four hundred eight thousand".