102505805585 has 8 divisors (see below), whose sum is σ = 123017049960. Its totient is φ = 81997922304.

The previous prime is 102505805561. The next prime is 102505805609. The reversal of 102505805585 is 585508505201.

It is an interprime number because it is at equal distance from previous prime (102505805561) and next prime (102505805609).

It can be written as a sum of positive squares in 4 ways, for example, as 46032560704 + 56473244881 = 214552^2 + 237641^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102505805585 - 2¹⁴ = 102505789201 is a prime.

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, 772682 + ... + 895571.

It is an arithmetic number, because the mean of its divisors is an integer number (15377131245).

Almost surely, 2^102505805585 is an apocalyptic number.

It is an amenable number.

102505805585 is a deficient number, since it is larger than the sum of its proper divisors (20511244375).

102505805585 is a wasteful number, since it uses less digits than its factorization.

102505805585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680547.

The product of its (nonzero) digits is 400000, while the sum is 44.

The spelling of 102505805585 in words is "one hundred two billion, five hundred five million, eight hundred five thousand, five hundred eighty-five".