105003325 has 18 divisors (see below), whose sum is σ = 151463706. Its totient is φ = 72001440.

The previous prime is 105003323. The next prime is 105003347. The reversal of 105003325 is 523300501.

It can be written as a sum of positive squares in 3 ways, for example, as 840889 + 104162436 = 917^2 + 10206^2 .

It is not a de Polignac number, because 105003325 - 2¹ = 105003323 is a prime.

It is a super-2 number, since 2×105003325² = 22051396522111250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41634 + ... + 44083.

Almost surely, 2^105003325 is an apocalyptic number.

It is an amenable number.

105003325 is a deficient number, since it is larger than the sum of its proper divisors (46460381).

105003325 is an equidigital number, since it uses as much as digits as its factorization.

105003325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85741 (or 85729 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 105003325 is about 10247.1130080623. The cubic root of 105003325 is about 471.7743777672.

Adding to 105003325 its reverse (523300501), we get a palindrome (628303826).

The spelling of 105003325 in words is "one hundred five million, three thousand, three hundred twenty-five".