100084728 has 32 divisors (see below), whose sum is σ = 250520400. Its totient is φ = 33320448.

The previous prime is 100084727. The next prime is 100084739. The reversal of 100084728 is 827480001.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100084695 and 100084704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100084727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22150 + ... + 26282.

Almost surely, 2^100084728 is an apocalyptic number.

It is an amenable number.

100084728 is an abundant number, since it is smaller than the sum of its proper divisors (150435672).

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

100084728 is a wasteful number, since it uses less digits than its factorization.

100084728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 100084728 is about 10004.2355030257. The cubic root of 100084728 is about 464.2899372014.

The spelling of 100084728 in words is "one hundred million, eighty-four thousand, seven hundred twenty-eight".