102015 has 12 divisors (see below), whose sum is σ = 176904. Its totient is φ = 54384.

The previous prime is 102013. The next prime is 102019. The reversal of 102015 is 510201.

It is a happy number.

It is not a de Polignac number, because 102015 - 2¹ = 102013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101988 and 102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013) 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, 1089 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2¹⁰²⁰¹⁵ is an apocalyptic number.

102015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102015 is a deficient number, since it is larger than the sum of its proper divisors (74889).

102015 is a wasteful number, since it uses less digits than its factorization.

102015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 102015 is about 319.3978710010. The cubic root of 102015 is about 46.7255775285.

Adding to 102015 its reverse (510201), we get a palindrome (612216).

It can be divided in two parts, 1020 and 15, that added together give a triangular number (1035 = T₄₅).

The spelling of 102015 in words is "one hundred two thousand, fifteen".