102645 has 12 divisors (see below), whose sum is σ = 177996. Its totient is φ = 54720.

The previous prime is 102643. The next prime is 102647. The reversal of 102645 is 546201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102643) and next prime (102647).

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 53361 = 222^2 + 231^2 .

It is not a de Polignac number, because 102645 - 2¹ = 102643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (14833).

2¹⁰²⁶⁴⁵ is an apocalyptic number.

102645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102645 is a deficient number, since it is larger than the sum of its proper divisors (75351).

102645 is a wasteful number, since it uses less digits than its factorization.

102645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102645 is about 320.3825837963. The cubic root of 102645 is about 46.8215657785.

Adding to 102645 its reverse (546201), we get a palindrome (648846).

Subtracting 102645 from its reverse (546201), we obtain a square (443556 = 666²).

It can be divided in two parts, 102 and 645, that added together give a palindrome (747).

The spelling of 102645 in words is "one hundred two thousand, six hundred forty-five".