100828520 has 64 divisors (see below), whose sum is σ = 247847040. Its totient is φ = 36691200.

The previous prime is 100828517. The next prime is 100828529. The reversal of 100828520 is 25828001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 100828520.

It is not an unprimeable number, because it can be changed into a prime (100828529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35555 + ... + 38285.

It is an arithmetic number, because the mean of its divisors is an integer number (3872610).

Almost surely, 2^100828520 is an apocalyptic number.

100828520 is a gapful number since it is divisible by the number (10) 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 100828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123923520).

100828520 is an abundant number, since it is smaller than the sum of its proper divisors (147018520).

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

100828520 is a wasteful number, since it uses less digits than its factorization.

100828520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 100828520 is about 10041.3405479547. The cubic root of 100828520 is about 465.4372424080.

The spelling of 100828520 in words is "one hundred million, eight hundred twenty-eight thousand, five hundred twenty".