103075310006585 has 32 divisors (see below), whose sum is σ = 142105630666752. Its totient is φ = 70307636382720.

The previous prime is 103075310006497. The next prime is 103075310006611. The reversal of 103075310006585 is 585600013570301.

It is not a de Polignac number, because 103075310006585 - 2¹⁴ = 103075309990201 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196524449 + ... + 197048241.

It is an arithmetic number, because the mean of its divisors is an integer number (4440800958336).

Almost surely, 2^{103075310006585} is an apocalyptic number.

It is an amenable number.

103075310006585 is a deficient number, since it is larger than the sum of its proper divisors (39030320660167).

103075310006585 is a wasteful number, since it uses less digits than its factorization.

103075310006585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553433.

The product of its (nonzero) digits is 378000, while the sum is 44.

Adding to 103075310006585 its reverse (585600013570301), we get a palindrome (688675323576886).

The spelling of 103075310006585 in words is "one hundred three trillion, seventy-five billion, three hundred ten million, six thousand, five hundred eighty-five".