109456880 has 160 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 36864000.

The previous prime is 109456871. The next prime is 109456909. The reversal of 109456880 is 88654901.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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, 724805 + ... + 724955.

Almost surely, 2^109456880 is an apocalyptic number.

109456880 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 109456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

109456880 is an abundant number, since it is smaller than the sum of its proper divisors (189773968).

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

109456880 is a wasteful number, since it uses less digits than its factorization.

109456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 109456880 is about 10462.1642120548. The cubic root of 109456880 is about 478.3521036824.

The spelling of 109456880 in words is "one hundred nine million, four hundred fifty-six thousand, eight hundred eighty".