105114125 has 32 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 80136000.

The previous prime is 105114103. The next prime is 105114131. The reversal of 105114125 is 521411501.

It is not a de Polignac number, because 105114125 - 2¹⁰ = 105113101 is a prime.

It is a super-2 number, since 2×105114125² = 22097958549031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105114097 and 105114106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 387740 + ... + 388010.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^105114125 is an apocalyptic number.

It is an amenable number.

105114125 is a deficient number, since it is larger than the sum of its proper divisors (32365555).

105114125 is a wasteful number, since it uses less digits than its factorization.

105114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 105114125 is about 10252.5179834029. The cubic root of 105114125 is about 471.9402589452.

Adding to 105114125 its reverse (521411501), we get a palindrome (626525626).

The spelling of 105114125 in words is "one hundred five million, one hundred fourteen thousand, one hundred twenty-five".