105546125 has 8 divisors (see below), whose sum is σ = 131721720. Its totient is φ = 84436800.

The previous prime is 105546071. The next prime is 105546127. The reversal of 105546125 is 521645501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 749956 + 104796169 = 866^2 + 10237^2 .

It is not a de Polignac number, because 105546125 - 2⁶ = 105546061 is a prime.

It is a super-2 number, since 2×105546125² = 22279969005031250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105546127) 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 7 ways as a sum of consecutive naturals, for example, 422060 + ... + 422309.

It is an arithmetic number, because the mean of its divisors is an integer number (16465215).

Almost surely, 2^105546125 is an apocalyptic number.

It is an amenable number.

105546125 is a deficient number, since it is larger than the sum of its proper divisors (26175595).

105546125 is an frugal number, since it uses more digits than its factorization.

105546125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844384 (or 844374 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 105546125 is about 10273.5643765930. The cubic root of 105546125 is about 472.5859048944.

The spelling of 105546125 in words is "one hundred five million, five hundred forty-six thousand, one hundred twenty-five".