109190880 has 144 divisors (see below), whose sum is σ = 375508224. Its totient is φ = 28892160.

The previous prime is 109190857. The next prime is 109190911. The reversal of 109190880 is 88091901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×109190880³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 274842 + ... + 275238.

It is an arithmetic number, because the mean of its divisors is an integer number (2607696).

Almost surely, 2^109190880 is an apocalyptic number.

109190880 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 109190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187754112).

109190880 is an abundant number, since it is smaller than the sum of its proper divisors (266317344).

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

109190880 is a wasteful number, since it uses less digits than its factorization.

109190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 109190880 is about 10449.4440043478. Note that the first 3 decimals coincide. The cubic root of 109190880 is about 477.9642953437.

The spelling of 109190880 in words is "one hundred nine million, one hundred ninety thousand, eight hundred eighty".