103585807505 has 8 divisors (see below), whose sum is σ = 125251847424. Its totient is φ = 82236060400.

The previous prime is 103585807483. The next prime is 103585807519. The reversal of 103585807505 is 505708585301.

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

It is not a de Polignac number, because 103585807505 - 2²⁰ = 103584758929 is a prime.

It is a super-3 number, since 3×103585807505³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103585807505.

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, 79072481 + ... + 79073790.

It is an arithmetic number, because the mean of its divisors is an integer number (15656480928).

Almost surely, 2^103585807505 is an apocalyptic number.

It is an amenable number.

103585807505 is a deficient number, since it is larger than the sum of its proper divisors (21666039919).

103585807505 is a wasteful number, since it uses less digits than its factorization.

103585807505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158146407.

The product of its (nonzero) digits is 840000, while the sum is 47.

The spelling of 103585807505 in words is "one hundred three billion, five hundred eighty-five million, eight hundred seven thousand, five hundred five".