100585327 has 2 divisors, whose sum is σ = 100585328. Its totient is φ = 100585326.

The previous prime is 100585321. The next prime is 100585339. The reversal of 100585327 is 723585001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100585327 - 2³ = 100585319 is a prime.

It is equal to p_5793214 and since 100585327 and 5793214 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100585321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292663 + 50292664.

It is an arithmetic number, because the mean of its divisors is an integer number (50292664).

Almost surely, 2^100585327 is an apocalyptic number.

100585327 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585327 is an equidigital number, since it uses as much as digits as its factorization.

100585327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 100585327 is about 10029.2236489172. The cubic root of 100585327 is about 465.0627379026.

The spelling of 100585327 in words is "one hundred million, five hundred eighty-five thousand, three hundred twenty-seven".