109821180 has 144 divisors (see below), whose sum is σ = 363073536. Its totient is φ = 24295680.

The previous prime is 109821161. The next prime is 109821181. The reversal of 109821180 is 81128901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109821181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574885 + ... + 575075.

It is an arithmetic number, because the mean of its divisors is an integer number (2521344).

Almost surely, 2^109821180 is an apocalyptic number.

109821180 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 109821180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181536768).

109821180 is an abundant number, since it is smaller than the sum of its proper divisors (253252356).

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

109821180 is a wasteful number, since it uses less digits than its factorization.

109821180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 109821180 is about 10479.5601052716. The cubic root of 109821180 is about 478.8822080089.

The spelling of 109821180 in words is "one hundred nine million, eight hundred twenty-one thousand, one hundred eighty".