102005015 has 48 divisors (see below), whose sum is σ = 158824800. Its totient is φ = 62318592.

The previous prime is 102004997. The next prime is 102005063. The reversal of 102005015 is 510500201.

It is not a de Polignac number, because 102005015 - 2⁶ = 102004951 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78491 + ... + 79779.

It is an arithmetic number, because the mean of its divisors is an integer number (3308850).

Almost surely, 2^102005015 is an apocalyptic number.

102005015 is a deficient number, since it is larger than the sum of its proper divisors (56819785).

102005015 is a wasteful number, since it uses less digits than its factorization.

102005015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

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

The square root of 102005015 is about 10099.7532148068. The cubic root of 102005015 is about 467.2405301377.

Adding to 102005015 its reverse (510500201), we get a palindrome (612505216).

The spelling of 102005015 in words is "one hundred two million, five thousand, fifteen".