100005331 has 8 divisors (see below), whose sum is σ = 102712320. Its totient is φ = 97322568.

The previous prime is 100005319. The next prime is 100005343. The reversal of 100005331 is 133500001.

It is an interprime number because it is at equal distance from previous prime (100005319) and next prime (100005343).

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 100005331 - 2⁹ = 100004819 is a prime.

It is a super-2 number, since 2×100005331² = 20002132456839122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100005391) 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, 2470 + ... + 14356.

It is an arithmetic number, because the mean of its divisors is an integer number (12839040).

Almost surely, 2^100005331 is an apocalyptic number.

100005331 is a deficient number, since it is larger than the sum of its proper divisors (2706989).

100005331 is a wasteful number, since it uses less digits than its factorization.

100005331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12113.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 100005331 is about 10000.2665464476. The cubic root of 100005331 is about 464.1671313181.

Adding to 100005331 its reverse (133500001), we get a palindrome (233505332).

The spelling of 100005331 in words is "one hundred million, five thousand, three hundred thirty-one".