100809728 has 44 divisors (see below), whose sum is σ = 213412032. Its totient is φ = 47431680.

The previous prime is 100809727. The next prime is 100809743. The reversal of 100809728 is 827908001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100809727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14513 + ... + 20303.

Almost surely, 2^100809728 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 100809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106706016).

100809728 is an abundant number, since it is smaller than the sum of its proper divisors (112602304).

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

100809728 is an equidigital number, since it uses as much as digits as its factorization.

100809728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 100809728 is about 10040.4047727171. The cubic root of 100809728 is about 465.4083251926.

The spelling of 100809728 in words is "one hundred million, eight hundred nine thousand, seven hundred twenty-eight".