109273824 has 144 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 31150080.

The previous prime is 109273823. The next prime is 109273831. The reversal of 109273824 is 428372901.

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

It is a super-2 number, since 2×109273824² = 23881537223165952, which contains 22 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 not an unprimeable number, because it can be changed into a prime (109273823) by changing a digit.

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, 52842 + ... + 54870.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2^109273824 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 109273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

109273824 is an abundant number, since it is smaller than the sum of its proper divisors (249841296).

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

109273824 is a wasteful number, since it uses less digits than its factorization.

109273824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 109273824 is about 10453.4120745334. The cubic root of 109273824 is about 478.0852890766.

The spelling of 109273824 in words is "one hundred nine million, two hundred seventy-three thousand, eight hundred twenty-four".