105130125 has 96 divisors (see below), whose sum is σ = 210263040. Its totient is φ = 50265600.

The previous prime is 105130121. The next prime is 105130139. The reversal of 105130125 is 521031501.

It is not a de Polignac number, because 105130125 - 2² = 105130121 is a prime.

It is a super-2 number, since 2×105130125² = 22104686365031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105130098 and 105130107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439756 + ... + 439994.

It is an arithmetic number, because the mean of its divisors is an integer number (2190240).

Almost surely, 2^105130125 is an apocalyptic number.

105130125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105130125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

105130125 is a wasteful number, since it uses less digits than its factorization.

105130125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

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

The square root of 105130125 is about 10253.2982498316. The cubic root of 105130125 is about 471.9642032725.

Adding to 105130125 its reverse (521031501), we get a palindrome (626161626).

The spelling of 105130125 in words is "one hundred five million, one hundred thirty thousand, one hundred twenty-five".