105606210126 has 16 divisors (see below), whose sum is σ = 211233472128. Its totient is φ = 35198561400.

The previous prime is 105606210071. The next prime is 105606210131. The reversal of 105606210126 is 621012606501.

It is a super-3 number, since 3×105606210126³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105606210093 and 105606210102.

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 7 ways as a sum of consecutive naturals, for example, 811570 + ... + 932661.

It is an arithmetic number, because the mean of its divisors is an integer number (13202092008).

Almost surely, 2^105606210126 is an apocalyptic number.

105606210126 is an abundant number, since it is smaller than the sum of its proper divisors (105627262002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105606210126 is a wasteful number, since it uses less digits than its factorization.

105606210126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754327.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 105606210126 its reverse (621012606501), we get a palindrome (726618816627).

The spelling of 105606210126 in words is "one hundred five billion, six hundred six million, two hundred ten thousand, one hundred twenty-six".