102168585 has 12 divisors (see below), whose sum is σ = 177092292. Its totient is φ = 54489888.

The previous prime is 102168557. The next prime is 102168593. The reversal of 102168585 is 585861201.

102168585 is a `hidden beast` number, since 10 + 2 + 1 + 68 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33212169 + 68956416 = 5763^2 + 8304^2 .

It is not a de Polignac number, because 102168585 - 2¹³ = 102160393 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135162 + ... + 1135251.

It is an arithmetic number, because the mean of its divisors is an integer number (14757691).

Almost surely, 2^102168585 is an apocalyptic number.

102168585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102168585 is a deficient number, since it is larger than the sum of its proper divisors (74923707).

102168585 is a wasteful number, since it uses less digits than its factorization.

102168585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270424 (or 2270421 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 102168585 is about 10107.8476937477. The cubic root of 102168585 is about 467.4901443965.

The spelling of 102168585 in words is "one hundred two million, one hundred sixty-eight thousand, five hundred eighty-five".