109153824 has 96 divisors (see below), whose sum is σ = 311169600. Its totient is φ = 33303552.

The previous prime is 109153801. The next prime is 109153829. The reversal of 109153824 is 428351901.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (109153829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185659 + ... + 186245.

It is an arithmetic number, because the mean of its divisors is an integer number (3241350).

Almost surely, 2^109153824 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 109153824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

109153824 is an abundant number, since it is smaller than the sum of its proper divisors (202015776).

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

109153824 is a wasteful number, since it uses less digits than its factorization.

109153824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 109153824 is about 10447.6707451948. The cubic root of 109153824 is about 477.9102204708.

The spelling of 109153824 in words is "one hundred nine million, one hundred fifty-three thousand, eight hundred twenty-four".