102075 has 12 divisors (see below), whose sum is σ = 168888. Its totient is φ = 54400.

The previous prime is 102071. The next prime is 102077. The reversal of 102075 is 570201.

It is a happy number.

It is not a de Polignac number, because 102075 - 2² = 102071 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102071) 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 11 ways as a sum of consecutive naturals, for example, 606 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (14074).

2¹⁰²⁰⁷⁵ is an apocalyptic number.

102075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102075 is a deficient number, since it is larger than the sum of its proper divisors (66813).

102075 is a wasteful number, since it uses less digits than its factorization.

102075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 102075 is about 319.4917839319. The cubic root of 102075 is about 46.7347362640.

Adding to 102075 its reverse (570201), we get a palindrome (672276).

The spelling of 102075 in words is "one hundred two thousand, seventy-five".