100806131 has 2 divisors, whose sum is σ = 100806132. Its totient is φ = 100806130.

The previous prime is 100806127. The next prime is 100806149. The reversal of 100806131 is 131608001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100806131 - 2² = 100806127 is a prime.

It is a super-2 number, since 2×100806131² = 20323752094378322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100806031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50403065 + 50403066.

It is an arithmetic number, because the mean of its divisors is an integer number (50403066).

Almost surely, 2^100806131 is an apocalyptic number.

100806131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100806131 is an equidigital number, since it uses as much as digits as its factorization.

100806131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 100806131 is about 10040.2256448747. The cubic root of 100806131 is about 465.4027897028.

The spelling of 100806131 in words is "one hundred million, eight hundred six thousand, one hundred thirty-one".