100828600320 has 192 divisors, whose sum is σ = 368655356160. Its totient is φ = 23046488064.

The previous prime is 100828600291. The next prime is 100828600331. The reversal of 100828600320 is 23006828001.

100828600320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402 + ... + 449481.

It is an arithmetic number, because the mean of its divisors is an integer number (1920079980).

Almost surely, 2^100828600320 is an apocalyptic number.

100828600320 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 100828600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184327678080).

100828600320 is an abundant number, since it is smaller than the sum of its proper divisors (267826755840).

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

100828600320 is an equidigital number, since it uses as much as digits as its factorization.

100828600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468920 (or 468900 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 100828600320 in words is "one hundred billion, eight hundred twenty-eight million, six hundred thousand, three hundred twenty".