102405 has 8 divisors (see below), whose sum is σ = 163872. Its totient is φ = 54608.

The previous prime is 102397. The next prime is 102407. The reversal of 102405 is 504201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102405 - 2³ = 102397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3399 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (20484).

2¹⁰²⁴⁰⁵ is an apocalyptic number.

102405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102405 is a deficient number, since it is larger than the sum of its proper divisors (61467).

102405 is an equidigital number, since it uses as much as digits as its factorization.

102405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102405 is about 320.0078124046. The cubic root of 102405 is about 46.7850452620.

Adding to 102405 its reverse (504201), we get a palindrome (606606).

It can be divided in two parts, 10 and 2405, that added together give a triangular number (2415 = T₆₉).

The spelling of 102405 in words is "one hundred two thousand, four hundred five".