102315 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 51552.

The previous prime is 102301. The next prime is 102317. The reversal of 102315 is 513201.

It is not a de Polignac number, because 102315 - 2⁴ = 102299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102315.

It is not an unprimeable number, because it can be changed into a prime (102317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹⁰²³¹⁵ is an apocalyptic number.

102315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102315 is a deficient number, since it is larger than the sum of its proper divisors (70485).

102315 is a wasteful number, since it uses less digits than its factorization.

102315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102315 is about 319.8671599274. The cubic root of 102315 is about 46.7713353578.

Adding to 102315 its reverse (513201), we get a palindrome (615516).

The spelling of 102315 in words is "one hundred two thousand, three hundred fifteen".