100006981 has 2 divisors, whose sum is σ = 100006982. Its totient is φ = 100006980.

The previous prime is 100006957. The next prime is 100007009. The reversal of 100006981 is 189600001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 12285025 = 9366^2 + 3505^2 .

It is a cyclic number.

It is not a de Polignac number, because 100006981 - 2¹⁵ = 99974213 is a prime.

It is a super-3 number, since 3×100006981³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100006901) 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 as a sum of consecutive naturals, namely, 50003490 + 50003491.

It is an arithmetic number, because the mean of its divisors is an integer number (50003491).

Almost surely, 2^100006981 is an apocalyptic number.

It is an amenable number.

100006981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006981 is an equidigital number, since it uses as much as digits as its factorization.

100006981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 100006981 is about 10000.3490439084. The cubic root of 100006981 is about 464.1696840872.

Adding to 100006981 its reverse (189600001), we get a palindrome (289606982).

The spelling of 100006981 in words is "one hundred million, six thousand, nine hundred eighty-one".