102125 has 16 divisors (see below), whose sum is σ = 137280. Its totient is φ = 75600.

The previous prime is 102121. The next prime is 102139. The reversal of 102125 is 521201.

102125 = 11² + 12² + ... + 67².

It is not a de Polignac number, because 102125 - 2² = 102121 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102125.

It is not an unprimeable number, because it can be changed into a prime (102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2¹⁰²¹²⁵ is an apocalyptic number.

It is an amenable number.

102125 is a deficient number, since it is larger than the sum of its proper divisors (35155).

102125 is an equidigital number, since it uses as much as digits as its factorization.

102125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 102125 is about 319.5700236255. The cubic root of 102125 is about 46.7423658023.

Adding to 102125 its reverse (521201), we get a palindrome (623326).

The spelling of 102125 in words is "one hundred two thousand, one hundred twenty-five".