100331309 has 8 divisors (see below), whose sum is σ = 110969880. Its totient is φ = 90110016.

The previous prime is 100331261. The next prime is 100331317. The reversal of 100331309 is 903133001.

It can be written as a sum of positive squares in 4 ways, for example, as 28590409 + 71740900 = 5347^2 + 8470^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100331309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103814 + ... + 104775.

It is an arithmetic number, because the mean of its divisors is an integer number (13871235).

Almost surely, 2^100331309 is an apocalyptic number.

It is an amenable number.

100331309 is a deficient number, since it is larger than the sum of its proper divisors (10638571).

100331309 is a wasteful number, since it uses less digits than its factorization.

100331309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208639.

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 100331309 is about 10016.5517519753. The cubic root of 100331309 is about 464.6709183559.

The spelling of 100331309 in words is "one hundred million, three hundred thirty-one thousand, three hundred nine".