105606210125 has 64 divisors (see below), whose sum is σ = 146211985920. Its totient is φ = 75660480000.

The previous prime is 105606210071. The next prime is 105606210131. The reversal of 105606210125 is 521012606501.

It is a happy number.

It is not a de Polignac number, because 105606210125 - 2¹² = 105606206029 is a prime.

It is a super-3 number, since 3×105606210125³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10546121 + ... + 10556129.

It is an arithmetic number, because the mean of its divisors is an integer number (2284562280).

Almost surely, 2^105606210125 is an apocalyptic number.

It is an amenable number.

105606210125 is a deficient number, since it is larger than the sum of its proper divisors (40605775795).

105606210125 is a wasteful number, since it uses less digits than its factorization.

105606210125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105606210125 its reverse (521012606501), we get a palindrome (626618816626).

The spelling of 105606210125 in words is "one hundred five billion, six hundred six million, two hundred ten thousand, one hundred twenty-five".