105248525 has 12 divisors (see below), whose sum is σ = 130676532. Its totient is φ = 84090240.

The previous prime is 105248519. The next prime is 105248527. The reversal of 105248525 is 525842501.

It can be written as a sum of positive squares in 6 ways, for example, as 329476 + 104919049 = 574^2 + 10243^2 .

It is not a de Polignac number, because 105248525 - 2⁴ = 105248509 is a prime.

It is a super-2 number, since 2×105248525² = 22154504029351250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105248491 and 105248500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105248527) 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, 21179 + ... + 25671.

It is an arithmetic number, because the mean of its divisors is an integer number (10889711).

Almost surely, 2^105248525 is an apocalyptic number.

It is an amenable number.

105248525 is a deficient number, since it is larger than the sum of its proper divisors (25428007).

105248525 is an equidigital number, since it uses as much as digits as its factorization.

105248525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 105248525 is about 10259.0703769884. The cubic root of 105248525 is about 472.1413158327.

The spelling of 105248525 in words is "one hundred five million, two hundred forty-eight thousand, five hundred twenty-five".