100585305 has 12 divisors (see below), whose sum is σ = 174347940. Its totient is φ = 53645472.

The previous prime is 100585283. The next prime is 100585319. The reversal of 100585305 is 503585001.

It can be written as a sum of positive squares in 2 ways, for example, as 73462041 + 27123264 = 8571^2 + 5208^2 .

It is not a de Polignac number, because 100585305 - 2²⁶ = 33476441 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 1117570 + ... + 1117659.

It is an arithmetic number, because the mean of its divisors is an integer number (14528995).

Almost surely, 2^100585305 is an apocalyptic number.

100585305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100585305 is a deficient number, since it is larger than the sum of its proper divisors (73762635).

100585305 is a wasteful number, since it uses less digits than its factorization.

100585305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235240 (or 2235237 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 100585305 is about 10029.2225521224. Note that the first 3 decimals coincide. The cubic root of 100585305 is about 465.0627039965.

The spelling of 100585305 in words is "one hundred million, five hundred eighty-five thousand, three hundred five".