105711621606105 has 32 divisors (see below), whose sum is σ = 182578392956160. Its totient is φ = 52068652796160.

The previous prime is 105711621606079. The next prime is 105711621606113. The reversal of 105711621606105 is 501606126117501.

It is not a de Polignac number, because 105711621606105 - 2¹⁰ = 105711621605081 is a prime.

It is a super-2 number, since 2×105711621606105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5282929606 + ... + 5282949615.

It is an arithmetic number, because the mean of its divisors is an integer number (5705574779880).

Almost surely, 2^{105711621606105} is an apocalyptic number.

105711621606105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105711621606105 is a deficient number, since it is larger than the sum of its proper divisors (76866771350055).

105711621606105 is a wasteful number, since it uses less digits than its factorization.

105711621606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565879281.

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 105711621606105 in words is "one hundred five trillion, seven hundred eleven billion, six hundred twenty-one million, six hundred six thousand, one hundred five".