100880728 has 48 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 44093376.

The previous prime is 100880723. The next prime is 100880729. The reversal of 100880728 is 827088001.

It is a junction number, because it is equal to n+sod(n) for n = 100880693 and 100880702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100880723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36201 + ... + 38887.

It is an arithmetic number, because the mean of its divisors is an integer number (4480560).

Almost surely, 2^100880728 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 100880728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

100880728 is an abundant number, since it is smaller than the sum of its proper divisors (114186152).

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

100880728 is a wasteful number, since it uses less digits than its factorization.

100880728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 100880728 is about 10043.9398644158. The cubic root of 100880728 is about 465.5175614644.

The spelling of 100880728 in words is "one hundred million, eight hundred eighty thousand, seven hundred twenty-eight".