102515 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 67200.

The previous prime is 102503. The next prime is 102523. The reversal of 102515 is 515201.

Added to its reverse (515201) it gives a triangular number (617716 = T₁₁₁₁).

102515 = 118² + 119² + ... + 124².

It is not a de Polignac number, because 102515 - 2⁴ = 102499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102515.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102515.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2¹⁰²⁵¹⁵ is an apocalyptic number.

102515 is a deficient number, since it is larger than the sum of its proper divisors (44365).

102515 is a wasteful number, since it uses less digits than its factorization.

102515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 102515 is about 320.1796370789. The cubic root of 102515 is about 46.8017909072.

Adding to 102515 its reverse (515201), we get a palindrome (617716).

Subtracting 102515 from its reverse (515201), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 102515 in words is "one hundred two thousand, five hundred fifteen".