102005205 has 16 divisors (see below), whose sum is σ = 171798720. Its totient is φ = 51539328.

The previous prime is 102005191. The next prime is 102005261. The reversal of 102005205 is 502500201.

It is not a de Polignac number, because 102005205 - 2⁵ = 102005173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 178672 + ... + 179241.

It is an arithmetic number, because the mean of its divisors is an integer number (10737420).

Almost surely, 2^102005205 is an apocalyptic number.

102005205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102005205 is a deficient number, since it is larger than the sum of its proper divisors (69793515).

102005205 is a wasteful number, since it uses less digits than its factorization.

102005205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357940.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 102005205 is about 10099.7626209728. The cubic root of 102005205 is about 467.2408202399.

Adding to 102005205 its reverse (502500201), we get a palindrome (604505406).

The spelling of 102005205 in words is "one hundred two million, five thousand, two hundred five".