100195728 has 80 divisors (see below), whose sum is σ = 275982336. Its totient is φ = 31250560.

The previous prime is 100195723. The next prime is 100195769. The reversal of 100195728 is 827591001.

It is not an unprimeable number, because it can be changed into a prime (100195723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50923 + ... + 52853.

Almost surely, 2^100195728 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 100195728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137991168).

100195728 is an abundant number, since it is smaller than the sum of its proper divisors (175786608).

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

100195728 is a wasteful number, since it uses less digits than its factorization.

100195728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 100195728 is about 10009.7816159994. The cubic root of 100195728 is about 464.4615156348.

The spelling of 100195728 in words is "one hundred million, one hundred ninety-five thousand, seven hundred twenty-eight".