102575 has 12 divisors (see below), whose sum is σ = 139128. Its totient is φ = 74400.

The previous prime is 102563. The next prime is 102587. The reversal of 102575 is 575201.

It is an interprime number because it is at equal distance from previous prime (102563) and next prime (102587).

It is not a de Polignac number, because 102575 - 2⁴ = 102559 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 102575.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (11594).

2¹⁰²⁵⁷⁵ is an apocalyptic number.

102575 is a deficient number, since it is larger than the sum of its proper divisors (36553).

102575 is a wasteful number, since it uses less digits than its factorization.

102575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 102575 is about 320.2733207746. The cubic root of 102575 is about 46.8109198470.

Adding to 102575 its reverse (575201), we get a palindrome (677776).

The spelling of 102575 in words is "one hundred two thousand, five hundred seventy-five".