100659728 has 80 divisors (see below), whose sum is σ = 220985856. Its totient is φ = 44098560.

The previous prime is 100659679. The next prime is 100659743. The reversal of 100659728 is 827956001.

It is a junction number, because it is equal to n+sod(n) for n = 100659691 and 100659700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431900 + ... + 432132.

Almost surely, 2^100659728 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 100659728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

100659728 is an abundant number, since it is smaller than the sum of its proper divisors (120326128).

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

100659728 is a wasteful number, since it uses less digits than its factorization.

100659728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 100659728 is about 10032.9321735971. The cubic root of 100659728 is about 465.1773755807.

The spelling of 100659728 in words is "one hundred million, six hundred fifty-nine thousand, seven hundred twenty-eight".