100305232 has 20 divisors (see below), whose sum is σ = 194972020. Its totient is φ = 49989888.

The previous prime is 100305173. The next prime is 100305239. The reversal of 100305232 is 232503001.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 91087936 = 3036^2 + 9544^2 .

It is a super-2 number, since 2×100305232² = 20122279133147648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100305239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5007 + ... + 15022.

It is an arithmetic number, because the mean of its divisors is an integer number (9748601).

Almost surely, 2^100305232 is an apocalyptic number.

100305232 is the 5008-th decagonal number.

It is an amenable number.

100305232 is a deficient number, since it is larger than the sum of its proper divisors (94666788).

100305232 is a wasteful number, since it uses less digits than its factorization.

100305232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 100305232 is about 10015.2499719178. The cubic root of 100305232 is about 464.6306574988.

Adding to 100305232 its reverse (232503001), we get a palindrome (332808233).

The spelling of 100305232 in words is "one hundred million, three hundred five thousand, two hundred thirty-two".