100303032 has 64 divisors (see below), whose sum is σ = 257304960. Its totient is φ = 32572800.

The previous prime is 100303019. The next prime is 100303037. The reversal of 100303032 is 230303001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100302999 and 100303017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303037) 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 15 ways as a sum of consecutive naturals, for example, 191523 + ... + 192045.

It is an arithmetic number, because the mean of its divisors is an integer number (4020390).

Almost surely, 2^100303032 is an apocalyptic number.

100303032 is a gapful number since it is divisible by the number (12) 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 100303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128652480).

100303032 is an abundant number, since it is smaller than the sum of its proper divisors (157001928).

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

100303032 is a wasteful number, since it uses less digits than its factorization.

100303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 100303032 is about 10015.1401388098. The cubic root of 100303032 is about 464.6272605509.

Adding to 100303032 its reverse (230303001), we get a palindrome (330606033).

The spelling of 100303032 in words is "one hundred million, three hundred three thousand, thirty-two".