100525 has 6 divisors (see below), whose sum is σ = 124682. Its totient is φ = 80400.

The previous prime is 100523. The next prime is 100537. The reversal of 100525 is 525001.

100525 = 51² + 52² + ... + 75².

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 100489 = 6^2 + 317^2 .

It is not a de Polignac number, because 100525 - 2¹ = 100523 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1986 + ... + 2035.

100525 is a Friedman number, since it can be written as 20105*5, using all its digits and the basic arithmetic operations.

2¹⁰⁰⁵²⁵ is an apocalyptic number.

It is an amenable number.

100525 is a deficient number, since it is larger than the sum of its proper divisors (24157).

100525 is an equidigital number, since it uses as much as digits as its factorization.

100525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 100525 is about 317.0567772498. The cubic root of 100525 is about 46.4969744052.

Adding to 100525 its reverse (525001), we get a palindrome (625526).

It can be divided in two parts, 100 and 525, that added together give a 4-th power (625 = 5⁴).

The spelling of 100525 in words is "one hundred thousand, five hundred twenty-five".