109209408 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 27709440.

The previous prime is 109209403. The next prime is 109209421. The reversal of 109209408 is 804902901.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109209403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227028 + ... + 1227116.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^109209408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

109209408 is an abundant number, since it is smaller than the sum of its proper divisors (259476672).

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

109209408 is a wasteful number, since it uses less digits than its factorization.

109209408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 109209408 is about 10450.3305210888. The cubic root of 109209408 is about 477.9913281924.

The spelling of 109209408 in words is "one hundred nine million, two hundred nine thousand, four hundred eight".