100031321 has 8 divisors (see below), whose sum is σ = 108286920. Its totient is φ = 91855872.

The previous prime is 100031303. The next prime is 100031377. The reversal of 100031321 is 123130001.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 99102025 = 964^2 + 9955^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100031321 - 2¹⁰ = 100030297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100031821) 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 7 ways as a sum of consecutive naturals, for example, 17426 + ... + 22443.

It is an arithmetic number, because the mean of its divisors is an integer number (13535865).

Almost surely, 2^100031321 is an apocalyptic number.

It is an amenable number.

100031321 is a deficient number, since it is larger than the sum of its proper divisors (8255599).

100031321 is a wasteful number, since it uses less digits than its factorization.

100031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40075.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100031321 is about 10001.5659273936. The cubic root of 100031321 is about 464.2073380374.

Adding to 100031321 its reverse (123130001), we get a palindrome (223161322).

The spelling of 100031321 in words is "one hundred million, thirty-one thousand, three hundred twenty-one".