100303128 has 144 divisors (see below), whose sum is σ = 304906680. Its totient is φ = 29680128.

The previous prime is 100303121. The next prime is 100303139. The reversal of 100303128 is 821303001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100303128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441751 + ... + 441977.

Almost surely, 2^100303128 is an apocalyptic number.

100303128 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 100303128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152453340).

100303128 is an abundant number, since it is smaller than the sum of its proper divisors (204603552).

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

100303128 is a wasteful number, since it uses less digits than its factorization.

100303128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100303128 is about 10015.1449315524. The cubic root of 100303128 is about 464.6274087824.

Adding to 100303128 its reverse (821303001), we get a palindrome (921606129).

The spelling of 100303128 in words is "one hundred million, three hundred three thousand, one hundred twenty-eight".