100002331 has 16 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 83567520.

The previous prime is 100002289. The next prime is 100002337. The reversal of 100002331 is 133200001.

It is a cyclic number.

It is not a de Polignac number, because 100002331 - 2⁹ = 100001819 is a prime.

It is a super-2 number, since 2×100002331² = 20000932410867122, which contains 22 as substring.

100002331 is a modest number, since divided by 2331 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100002337) 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 15 ways as a sum of consecutive naturals, for example, 36280 + ... + 38938.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2^100002331 is an apocalyptic number.

100002331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100002331 is a deficient number, since it is larger than the sum of its proper divisors (17973989).

100002331 is a wasteful number, since it uses less digits than its factorization.

100002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 100002331 is about 10000.1165493208. The cubic root of 100002331 is about 464.1624898478.

Adding to 100002331 its reverse (133200001), we get a palindrome (233202332).

The spelling of 100002331 in words is "one hundred million, two thousand, three hundred thirty-one".