103664585 has 8 divisors (see below), whose sum is σ = 124530696. Its totient is φ = 82842880.

The previous prime is 103664573. The next prime is 103664591. The reversal of 103664585 is 585466301.

It can be written as a sum of positive squares in 4 ways, for example, as 61842496 + 41822089 = 7864^2 + 6467^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103664585 - 2⁴ = 103664569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5726 + ... + 15495.

It is an arithmetic number, because the mean of its divisors is an integer number (15566337).

Almost surely, 2^103664585 is an apocalyptic number.

It is an amenable number.

103664585 is a deficient number, since it is larger than the sum of its proper divisors (20866111).

103664585 is an equidigital number, since it uses as much as digits as its factorization.

103664585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22203.

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 103664585 is about 10181.5806729604. The cubic root of 103664585 is about 469.7608335005.

The spelling of 103664585 in words is "one hundred three million, six hundred sixty-four thousand, five hundred eighty-five".