105606055625 has 80 divisors (see below), whose sum is σ = 159211536000. Its totient is φ = 69914376000.

The previous prime is 105606055619. The next prime is 105606055637. The reversal of 105606055625 is 526550606501.

It is not a de Polignac number, because 105606055625 - 2²⁸ = 105337620169 is a prime.

It is a super-3 number, since 3×105606055625³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6208382 + ... + 6225368.

It is an arithmetic number, because the mean of its divisors is an integer number (1990144200).

Almost surely, 2^105606055625 is an apocalyptic number.

It is an amenable number.

105606055625 is a deficient number, since it is larger than the sum of its proper divisors (53605480375).

105606055625 is an frugal number, since it uses more digits than its factorization.

105606055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17057 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 105606055625 in words is "one hundred five billion, six hundred six million, fifty-five thousand, six hundred twenty-five".