102512205 has 24 divisors (see below), whose sum is σ = 180704160. Its totient is φ = 53745120.

The previous prime is 102512191. The next prime is 102512209. The reversal of 102512205 is 502215201.

It is not a de Polignac number, because 102512205 - 2⁸ = 102511949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102512209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16651 + ... + 21960.

It is an arithmetic number, because the mean of its divisors is an integer number (7529340).

Almost surely, 2^102512205 is an apocalyptic number.

102512205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102512205 is a deficient number, since it is larger than the sum of its proper divisors (78191955).

102512205 is a wasteful number, since it uses less digits than its factorization.

102512205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38681 (or 38678 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102512205 is about 10124.8311097025. The cubic root of 102512205 is about 468.0136556392.

Adding to 102512205 its reverse (502215201), we get a palindrome (604727406).

The spelling of 102512205 in words is "one hundred two million, five hundred twelve thousand, two hundred five".