101525 has 12 divisors (see below), whose sum is σ = 130944. Its totient is φ = 78000.

The previous prime is 101513. The next prime is 101527. The reversal of 101525 is 525101.

It is not a de Polignac number, because 101525 - 2¹⁰ = 100501 is a prime.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101527) 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, 710 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (10912).

2¹⁰¹⁵²⁵ is an apocalyptic number.

It is an amenable number.

101525 is a deficient number, since it is larger than the sum of its proper divisors (29419).

101525 is a wasteful number, since it uses less digits than its factorization.

101525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 101525 is about 318.6298793271. The cubic root of 101525 is about 46.6506464285.

Subtracting from 101525 its product of nonzero digits (50), we obtain a triangular number (101475 = T₄₅₀).

Adding to 101525 its reverse (525101), we get a palindrome (626626).

It can be divided in two parts, 101 and 525, that added together give a palindrome (626).

The spelling of 101525 in words is "one hundred one thousand, five hundred twenty-five".