108218880 has 480 divisors, whose sum is σ = 474933888. Its totient is φ = 22118400.

The previous prime is 108218879. The next prime is 108218897. The reversal of 108218880 is 88812801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×108218880² = 23422651976908800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774050 + ... + 1774110.

Almost surely, 2^108218880 is an apocalyptic number.

108218880 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 108218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237466944).

108218880 is an abundant number, since it is smaller than the sum of its proper divisors (366715008).

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

108218880 is a wasteful number, since it uses less digits than its factorization.

108218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 108218880 is about 10402.8303840830. The cubic root of 108218880 is about 476.5418117795.

It can be divided in two parts, 10821 and 8880, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 108218880 in words is "one hundred eight million, two hundred eighteen thousand, eight hundred eighty".