102125205 has 160 divisors (see below), whose sum is σ = 240033024. Its totient is φ = 40310784.

The previous prime is 102125201. The next prime is 102125207. The reversal of 102125205 is 502521201.

It is not a de Polignac number, because 102125205 - 2² = 102125201 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 (102125201) 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 159 ways as a sum of consecutive naturals, for example, 626454 + ... + 626616.

Almost surely, 2^102125205 is an apocalyptic number.

102125205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102125205 is an abundant number, since it is smaller than the sum of its proper divisors (137907819).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102125205 is a wasteful number, since it uses less digits than its factorization.

102125205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

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

The square root of 102125205 is about 10105.7016084980. The cubic root of 102125205 is about 467.4239707831.

Adding to 102125205 its reverse (502521201), we get a palindrome (604646406).

The spelling of 102125205 in words is "one hundred two million, one hundred twenty-five thousand, two hundred five".