108408384 has 252 divisors, whose sum is σ = 379439424. Its totient is φ = 29449728.

The previous prime is 108408383. The next prime is 108408389. The reversal of 108408384 is 483804801.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108408383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 649069 + ... + 649235.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^108408384 is an apocalyptic number.

108408384 is a gapful number since it is divisible by the number (14) 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 108408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

108408384 is an abundant number, since it is smaller than the sum of its proper divisors (271031040).

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

108408384 is a wasteful number, since it uses less digits than its factorization.

108408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 108408384 is about 10411.9346905366. The cubic root of 108408384 is about 476.8198098461.

The spelling of 108408384 in words is "one hundred eight million, four hundred eight thousand, three hundred eighty-four".