102585505 has 16 divisors (see below), whose sum is σ = 134555904. Its totient is φ = 74462080.

The previous prime is 102585467. The next prime is 102585533. The reversal of 102585505 is 505585201.

It is not a de Polignac number, because 102585505 - 2⁷ = 102585377 is a prime.

It is a super-2 number, since 2×102585505² = 21047571672210050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32424 + ... + 35446.

It is an arithmetic number, because the mean of its divisors is an integer number (8409744).

Almost surely, 2^102585505 is an apocalyptic number.

It is an amenable number.

102585505 is a deficient number, since it is larger than the sum of its proper divisors (31970399).

102585505 is a wasteful number, since it uses less digits than its factorization.

102585505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656.

The product of its (nonzero) digits is 10000, while the sum is 31.

The square root of 102585505 is about 10128.4502763256. The cubic root of 102585505 is about 468.1251780596.

The spelling of 102585505 in words is "one hundred two million, five hundred eighty-five thousand, five hundred five".