109509408 has 72 divisors (see below), whose sum is σ = 322974288. Its totient is φ = 36500544.

The previous prime is 109509299. The next prime is 109509409. The reversal of 109509408 is 804905901.

109509408 is a `hidden beast` number, since 109 + 509 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109509409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 735 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (4485754).

Almost surely, 2^109509408 is an apocalyptic number.

109509408 is a gapful number since it is divisible by the number (18) 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 109509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161487144).

109509408 is an abundant number, since it is smaller than the sum of its proper divisors (213464880).

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

109509408 is an equidigital number, since it uses as much as digits as its factorization.

109509408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 109509408 is about 10464.6742902013. The cubic root of 109509408 is about 478.4286113170.

The spelling of 109509408 in words is "one hundred nine million, five hundred nine thousand, four hundred eight".