105606655305 has 16 divisors (see below), whose sum is σ = 169594162944. Its totient is φ = 56115711360.

The previous prime is 105606655289. The next prime is 105606655327. The reversal of 105606655305 is 503556606501.

It is not a de Polignac number, because 105606655305 - 2⁴ = 105606655289 is a prime.

It is a super-2 number, since 2×105606655305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12985684 + ... + 12993813.

It is an arithmetic number, because the mean of its divisors is an integer number (10599635184).

Almost surely, 2^105606655305 is an apocalyptic number.

105606655305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105606655305 is a deficient number, since it is larger than the sum of its proper divisors (63987507639).

105606655305 is a wasteful number, since it uses less digits than its factorization.

105606655305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25979776.

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 105606655305 in words is "one hundred five billion, six hundred six million, six hundred fifty-five thousand, three hundred five".