102705 has 16 divisors (see below), whose sum is σ = 169344. Its totient is φ = 53120.

The previous prime is 102701. The next prime is 102761. The reversal of 102705 is 507201.

It is a happy number.

It is not a de Polignac number, because 102705 - 2² = 102701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁰²⁷⁰⁵ is an apocalyptic number.

102705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102705 is a deficient number, since it is larger than the sum of its proper divisors (66639).

102705 is a wasteful number, since it uses less digits than its factorization.

102705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 102705 is about 320.4762081653. The cubic root of 102705 is about 46.8306870111.

Adding to 102705 its reverse (507201), we get a palindrome (609906).

Subtracting 102705 from its reverse (507201), we obtain a square (404496 = 636²).

The spelling of 102705 in words is "one hundred two thousand, seven hundred five".