100528128 has 156 divisors (see below), whose sum is σ = 304115448. Its totient is φ = 33177600.

The previous prime is 100528117. The next prime is 100528163. The reversal of 100528128 is 821825001.

100528128 is a `hidden beast` number, since 10 + 0 + 528 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995278 + ... + 995378.

It is an arithmetic number, because the mean of its divisors is an integer number (1949458).

Almost surely, 2^100528128 is an apocalyptic number.

100528128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152057724).

100528128 is an abundant number, since it is smaller than the sum of its proper divisors (203587320).

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

100528128 is an frugal number, since it uses more digits than its factorization.

100528128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 100528128 is about 10026.3716268648. The cubic root of 100528128 is about 464.9745667671.

The spelling of 100528128 in words is "one hundred million, five hundred twenty-eight thousand, one hundred twenty-eight".