105303125 has 24 divisors (see below), whose sum is σ = 135991296. Its totient is φ = 81450000.

The previous prime is 105303119. The next prime is 105303127. The reversal of 105303125 is 521303501.

It is not a de Polignac number, because 105303125 - 2⁶ = 105303061 is a prime.

It is a super-2 number, since 2×105303125² = 22177496269531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105303097 and 105303106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105303127) 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 23 ways as a sum of consecutive naturals, for example, 96332 + ... + 97418.

It is an arithmetic number, because the mean of its divisors is an integer number (5666304).

Almost surely, 2^105303125 is an apocalyptic number.

It is an amenable number.

105303125 is a deficient number, since it is larger than the sum of its proper divisors (30688171).

105303125 is an frugal number, since it uses more digits than its factorization.

105303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105303125 is about 10261.7310917798. The cubic root of 105303125 is about 472.2229463016. Note that the first 3 decimals are identical.

Adding to 105303125 its reverse (521303501), we get a palindrome (626606626).

The spelling of 105303125 in words is "one hundred five million, three hundred three thousand, one hundred twenty-five".