105301125 has 24 divisors (see below), whose sum is σ = 189824856. Its totient is φ = 56160000.

The previous prime is 105301099. The next prime is 105301127. The reversal of 105301125 is 521103501.

105301125 is a `hidden beast` number, since 10 + 530 + 1 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1077444 + 104223681 = 1038^2 + 10209^2 .

It is not a de Polignac number, because 105301125 - 2¹² = 105297029 is a prime.

It is a super-2 number, since 2×105301125² = 22176653852531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105301098 and 105301107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105301127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45676 + ... + 47925.

It is an arithmetic number, because the mean of its divisors is an integer number (7909369).

Almost surely, 2^105301125 is an apocalyptic number.

105301125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105301125 is a deficient number, since it is larger than the sum of its proper divisors (84523731).

105301125 is an equidigital number, since it uses as much as digits as its factorization.

105301125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93622 (or 93609 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105301125 is about 10261.6336418720. The cubic root of 105301125 is about 472.2199566725.

Adding to 105301125 its reverse (521103501), we get a palindrome (626404626).

The spelling of 105301125 in words is "one hundred five million, three hundred one thousand, one hundred twenty-five".