105189125 has 16 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 83630800.

The previous prime is 105189109. The next prime is 105189163. The reversal of 105189125 is 521981501.

It is not a de Polignac number, because 105189125 - 2⁴ = 105189109 is a prime.

It is a super-3 number, since 3×105189125³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105189091 and 105189100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18356 + ... + 23394.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^105189125 is an apocalyptic number.

It is an amenable number.

105189125 is a deficient number, since it is larger than the sum of its proper divisors (26899195).

105189125 is an equidigital number, since it uses as much as digits as its factorization.

105189125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 32.

The square root of 105189125 is about 10256.1749692563. The cubic root of 105189125 is about 472.0524769888.

The spelling of 105189125 in words is "one hundred five million, one hundred eighty-nine thousand, one hundred twenty-five".