100035828 has 36 divisors (see below), whose sum is σ = 253222788. Its totient is φ = 33298560.

The previous prime is 100035821. The next prime is 100035841. The reversal of 100035828 is 828530001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72284004 + 27751824 = 8502^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100035821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32400 + ... + 35352.

Almost surely, 2^100035828 is an apocalyptic number.

100035828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100035828 is an abundant number, since it is smaller than the sum of its proper divisors (153186960).

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

100035828 is a wasteful number, since it uses less digits than its factorization.

100035828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100035828 is about 10001.7912395730. The cubic root of 100035828 is about 464.2143096907.

Adding to 100035828 its reverse (828530001), we get a palindrome (928565829).

The spelling of 100035828 in words is "one hundred million, thirty-five thousand, eight hundred twenty-eight".