109442880 has 224 divisors, whose sum is σ = 395020800. Its totient is φ = 28514304.

The previous prime is 109442857. The next prime is 109442881. The reversal of 109442880 is 88244901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109442881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457801 + ... + 458039.

Almost surely, 2^109442880 is an apocalyptic number.

109442880 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 109442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

109442880 is an abundant number, since it is smaller than the sum of its proper divisors (285577920).

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

109442880 is a wasteful number, since it uses less digits than its factorization.

109442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 109442880 is about 10461.4951130324. The cubic root of 109442880 is about 478.3317083907.

It can be divided in two parts, 10944 and 2880, that added together give a cube (13824 = 24³).

The spelling of 109442880 in words is "one hundred nine million, four hundred forty-two thousand, eight hundred eighty".