100003595328 has 560 divisors, whose sum is σ = 371138866560. Its totient is φ = 25920331776.

The previous prime is 100003595323. The next prime is 100003595333. The reversal of 100003595328 is 823595300001.

It is an interprime number because it is at equal distance from previous prime (100003595323) and next prime (100003595333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100003595292 and 100003595301.

It is not an unprimeable number, because it can be changed into a prime (100003595323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27831100 + ... + 27834692.

It is an arithmetic number, because the mean of its divisors is an integer number (662747976).

Almost surely, 2^100003595328 is an apocalyptic number.

100003595328 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 100003595328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185569433280).

100003595328 is an abundant number, since it is smaller than the sum of its proper divisors (271135271232).

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

100003595328 is a wasteful number, since it uses less digits than its factorization.

100003595328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 100003595328 its reverse (823595300001), we get a palindrome (923598895329).

The spelling of 100003595328 in words is "one hundred billion, three million, five hundred ninety-five thousand, three hundred twenty-eight".