100928784528 has 120 divisors (see below), whose sum is σ = 331841677440. Its totient is φ = 28231822080.

The previous prime is 100928784449. The next prime is 100928784581. The reversal of 100928784528 is 825487829001.

100928784528 is a `hidden beast` number, since 10 + 0 + 9 + 28 + 7 + 84 + 528 = 666.

100928784528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430088 + ... + 2471271.

It is an arithmetic number, because the mean of its divisors is an integer number (2765347312).

Almost surely, 2^100928784528 is an apocalyptic number.

100928784528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100928784528 is an abundant number, since it is smaller than the sum of its proper divisors (230912892912).

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

100928784528 is a wasteful number, since it uses less digits than its factorization.

100928784528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901397 (or 4901388 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 100928784528 in words is "one hundred billion, nine hundred twenty-eight million, seven hundred eighty-four thousand, five hundred twenty-eight".