102605 has 4 divisors (see below), whose sum is σ = 123132. Its totient is φ = 82080.

The previous prime is 102593. The next prime is 102607. The reversal of 102605 is 506201.

102605 = 226² + 227².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 51529 + 51076 = 227^2 + 226^2 .

It is not a de Polignac number, because 102605 - 2¹⁰ = 101581 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10256 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (30783).

2¹⁰²⁶⁰⁵ is an apocalyptic number.

102605 is the 227-th centered square number.

It is an amenable number.

102605 is a deficient number, since it is larger than the sum of its proper divisors (20527).

102605 is an equidigital number, since it uses as much as digits as its factorization.

102605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102605 is about 320.3201523476. The cubic root of 102605 is about 46.8154829820.

Adding to 102605 its reverse (506201), we get a palindrome (608806).

It can be divided in two parts, 102 and 605, that added together give a palindrome (707).

The spelling of 102605 in words is "one hundred two thousand, six hundred five".