109638432 has 54 divisors (see below), whose sum is σ = 312290433. Its totient is φ = 36486912.

The previous prime is 109638427. The next prime is 109638439. The reversal of 109638432 is 234836901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

109638432 is a `hidden beast` number, since 10 + 9 + 638 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 36433296 = 8556^2 + 6036^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7404.

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 (109638439) 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 8 ways as a sum of consecutive naturals, for example, 177388 + ... + 178004.

Almost surely, 2^109638432 is an apocalyptic number.

109638432 is a gapful number since it is divisible by the number (12) 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 109638432

109638432 is an abundant number, since it is smaller than the sum of its proper divisors (202652001).

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

109638432 is an frugal number, since it uses more digits than its factorization.

109638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 109638432 is about 10470.8372158104. The cubic root of 109638432 is about 478.6164324585.

The spelling of 109638432 in words is "one hundred nine million, six hundred thirty-eight thousand, four hundred thirty-two".