108838080 has 560 divisors, whose sum is σ = 464698080. Its totient is φ = 23887872.

The previous prime is 108838069. The next prime is 108838087. The reversal of 108838080 is 80838801.

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 (108838087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728311 + ... + 5728329.

It is an arithmetic number, because the mean of its divisors is an integer number (829818).

Almost surely, 2^108838080 is an apocalyptic number.

108838080 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 108838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

108838080 is an abundant number, since it is smaller than the sum of its proper divisors (355860000).

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

108838080 is a wasteful number, since it uses less digits than its factorization.

108838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 108838080 is about 10432.5490653052. The cubic root of 108838080 is about 477.4489661566.

The spelling of 108838080 in words is "one hundred eight million, eight hundred thirty-eight thousand, eighty".