109146880 has 72 divisors (see below), whose sum is σ = 265343904. Its totient is φ = 43008000.

The previous prime is 109146859. The next prime is 109146889. The reversal of 109146880 is 88641901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (109146889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90280 + ... + 91480.

It is an arithmetic number, because the mean of its divisors is an integer number (3685332).

Almost surely, 2^109146880 is an apocalyptic number.

109146880 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 109146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132671952).

109146880 is an abundant number, since it is smaller than the sum of its proper divisors (156197024).

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

109146880 is an equidigital number, since it uses as much as digits as its factorization.

109146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 109146880 is about 10447.3384170323. The cubic root of 109146880 is about 477.9000859077.

Adding to 109146880 its product of nonzero digits (13824), we get a square (109160704 = 10448²).

The spelling of 109146880 in words is "one hundred nine million, one hundred forty-six thousand, eight hundred eighty".