100597728 has 192 divisors, whose sum is σ = 340623360. Its totient is φ = 25228800.

The previous prime is 100597711. The next prime is 100597751. The reversal of 100597728 is 827795001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228933 + ... + 229371.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^100597728 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 100597728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

100597728 is an abundant number, since it is smaller than the sum of its proper divisors (240025632).

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

100597728 is a wasteful number, since it uses less digits than its factorization.

100597728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 100597728 is about 10029.8418731304. The cubic root of 100597728 is about 465.0818493913.

The spelling of 100597728 in words is "one hundred million, five hundred ninety-seven thousand, seven hundred twenty-eight".