109408 has 24 divisors (see below), whose sum is σ = 232848. Its totient is φ = 50304.

The previous prime is 109397. The next prime is 109423. The reversal of 109408 is 804901.

It is a super-2 number, since 2×109408² = 23940220928, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹⁰⁹⁴⁰⁸ 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 109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424).

109408 is an abundant number, since it is smaller than the sum of its proper divisors (123440).

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

109408 is a wasteful number, since it uses less digits than its factorization.

109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

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

The square root of 109408 is about 330.7688014308. The cubic root of 109408 is about 47.8280887412.

The spelling of 109408 in words is "one hundred nine thousand, four hundred eight".