109505484 has 108 divisors (see below), whose sum is σ = 317776368. Its totient is φ = 31711680.

The previous prime is 109505471. The next prime is 109505489. The reversal of 109505484 is 484505901.

109505484 is a `hidden beast` number, since 109 + 5 + 0 + 548 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109505489) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99642 + ... + 100734.

Almost surely, 2^109505484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109505484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158888184).

109505484 is an abundant number, since it is smaller than the sum of its proper divisors (208270884).

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

109505484 is a wasteful number, since it uses less digits than its factorization.

109505484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 109505484 is about 10464.4868006033. The cubic root of 109505484 is about 478.4228968117.

The spelling of 109505484 in words is "one hundred nine million, five hundred five thousand, four hundred eighty-four".