108880000 has 80 divisors (see below), whose sum is σ = 271249110. Its totient is φ = 43520000.

The previous prime is 108879989. The next prime is 108880003. The reversal of 108880000 is 88801.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 553536 + 108326464 = 744^2 + 10408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (108880003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79320 + ... + 80680.

Almost surely, 2^108880000 is an apocalyptic number.

108880000 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 108880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135624555).

108880000 is an abundant number, since it is smaller than the sum of its proper divisors (162369110).

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

108880000 is an frugal number, since it uses more digits than its factorization.

108880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 108880000 is about 10434.5579685965. The cubic root of 108880000 is about 477.5102562602.

The spelling of 108880000 in words is "one hundred eight million, eight hundred eighty thousand".