103585816243945 has 16 divisors (see below), whose sum is σ = 142584756668928. Its totient is φ = 70768169657280.

The previous prime is 103585816243853. The next prime is 103585816243957. The reversal of 103585816243945 is 549342618585301.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-103585816243945 is a prime.

It is a super-3 number, since 3×103585816243945³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5460497434 + ... + 5460516403.

It is an arithmetic number, because the mean of its divisors is an integer number (8911547291808).

Almost surely, 2^{103585816243945} is an apocalyptic number.

It is an amenable number.

103585816243945 is a deficient number, since it is larger than the sum of its proper divisors (38998940424983).

103585816243945 is a wasteful number, since it uses less digits than its factorization.

103585816243945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921014120.

The product of its (nonzero) digits is 124416000, while the sum is 64.

The spelling of 103585816243945 in words is "one hundred three trillion, five hundred eighty-five billion, eight hundred sixteen million, two hundred forty-three thousand, nine hundred forty-five".