102525 has 12 divisors (see below), whose sum is σ = 169632. Its totient is φ = 54640.

The previous prime is 102523. The next prime is 102533. The reversal of 102525 is 525201.

It is not a de Polignac number, because 102525 - 2¹ = 102523 is a prime.

It is a super-2 number, since 2×102525² = 21022751250, which contains 22 as substring.

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

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 102525.

It is not an unprimeable number, because it can be changed into a prime (102523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2¹⁰²⁵²⁵ is an apocalyptic number.

102525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102525 is a deficient number, since it is larger than the sum of its proper divisors (67107).

102525 is a wasteful number, since it uses less digits than its factorization.

102525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 102525 is about 320.1952529317. The cubic root of 102525 is about 46.8033126445.

Adding to 102525 its reverse (525201), we get a palindrome (627726).

The spelling of 102525 in words is "one hundred two thousand, five hundred twenty-five".