102085665 has 32 divisors (see below), whose sum is σ = 178799616. Its totient is φ = 49325760.

The previous prime is 102085637. The next prime is 102085673. The reversal of 102085665 is 566580201.

It is not a de Polignac number, because 102085665 - 2⁸ = 102085409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56364 + ... + 58146.

It is an arithmetic number, because the mean of its divisors is an integer number (5587488).

Almost surely, 2^102085665 is an apocalyptic number.

102085665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102085665 is a deficient number, since it is larger than the sum of its proper divisors (76713951).

102085665 is a wasteful number, since it uses less digits than its factorization.

102085665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 102085665 is about 10103.7450977348. The cubic root of 102085665 is about 467.3636385352.

The spelling of 102085665 in words is "one hundred two million, eighty-five thousand, six hundred sixty-five".