100585171 has 2 divisors, whose sum is σ = 100585172. Its totient is φ = 100585170.

The previous prime is 100585159. The next prime is 100585207. The reversal of 100585171 is 171585001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100585171 - 2¹⁷ = 100454099 is a prime.

It is not a weakly prime, because it can be changed into another prime (100585151) 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 as a sum of consecutive naturals, namely, 50292585 + 50292586.

It is an arithmetic number, because the mean of its divisors is an integer number (50292586).

Almost surely, 2^100585171 is an apocalyptic number.

100585171 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585171 is an equidigital number, since it uses as much as digits as its factorization.

100585171 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 28.

The square root of 100585171 is about 10029.2158716422. The cubic root of 100585171 is about 465.0624974771.

The spelling of 100585171 in words is "one hundred million, five hundred eighty-five thousand, one hundred seventy-one".