103221585 has 96 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 47900160.

The previous prime is 103221529. The next prime is 103221593. The reversal of 103221585 is 585122301.

It is a happy number.

It is not a de Polignac number, because 103221585 - 2⁸ = 103221329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570195 + ... + 570375.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^103221585 is an apocalyptic number.

103221585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103221585 is a deficient number, since it is larger than the sum of its proper divisors (101200815).

103221585 is a wasteful number, since it uses less digits than its factorization.

103221585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 103221585 is about 10159.8024094960. The cubic root of 103221585 is about 469.0907197481.

Adding to 103221585 its reverse (585122301), we get a palindrome (688343886).

The spelling of 103221585 in words is "one hundred three million, two hundred twenty-one thousand, five hundred eighty-five".