100061728 has 48 divisors (see below), whose sum is σ = 224645400. Its totient is φ = 43462656.

The previous prime is 100061723. The next prime is 100061747. The reversal of 100061728 is 827160001.

It can be written as a sum of positive squares in 4 ways, for example, as 97061904 + 2999824 = 9852^2 + 1732^2 .

It is not an unprimeable number, because it can be changed into a prime (100061723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 14146.

Almost surely, 2^100061728 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 100061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112322700).

100061728 is an abundant number, since it is smaller than the sum of its proper divisors (124583672).

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

100061728 is a wasteful number, since it uses less digits than its factorization.

100061728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 100061728 is about 10003.0859238537. The cubic root of 100061728 is about 464.2543690487.

The spelling of 100061728 in words is "one hundred million, sixty-one thousand, seven hundred twenty-eight".