105365531106 has 80 divisors (see below), whose sum is σ = 272710864800. Its totient is φ = 30050766720.

The previous prime is 105365531101. The next prime is 105365531113. The reversal of 105365531106 is 601135563501.

105365531106 is a `hidden beast` number, since 1 + 0 + 53 + 65 + 531 + 10 + 6 = 666.

It is a super-2 number, since 2×105365531106² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105365531101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1708756 + ... + 1769343.

It is an arithmetic number, because the mean of its divisors is an integer number (3408885810).

Almost surely, 2^105365531106 is an apocalyptic number.

105365531106 is an abundant number, since it is smaller than the sum of its proper divisors (167345333694).

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

105365531106 is a wasteful number, since it uses less digits than its factorization.

105365531106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478141 (or 3478132 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 105365531106 in words is "one hundred five billion, three hundred sixty-five million, five hundred thirty-one thousand, one hundred six".