108882880 has 112 divisors (see below), whose sum is σ = 273186144. Its totient is φ = 41287680.

The previous prime is 108882869. The next prime is 108882887. The reversal of 108882880 is 88288801.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108882887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564064 + ... + 564256.

It is an arithmetic number, because the mean of its divisors is an integer number (2439162).

Almost surely, 2^108882880 is an apocalyptic number.

108882880 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 108882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136593072).

108882880 is an abundant number, since it is smaller than the sum of its proper divisors (164303264).

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

108882880 is a wasteful number, since it uses less digits than its factorization.

108882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 43.

The square root of 108882880 is about 10434.6959706548. The cubic root of 108882880 is about 477.5144664532.

The spelling of 108882880 in words is "one hundred eight million, eight hundred eighty-two thousand, eight hundred eighty".