105522320705 has 16 divisors (see below), whose sum is σ = 127674624000. Its totient is φ = 83719827072.

The previous prime is 105522320693. The next prime is 105522320773. The reversal of 105522320705 is 507023225501.

It is a cyclic number.

It is not a de Polignac number, because 105522320705 - 2²² = 105518126401 is a prime.

It is a super-2 number, since 2×105522320705² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1630046 + ... + 1693544.

It is an arithmetic number, because the mean of its divisors is an integer number (7979664000).

Almost surely, 2^105522320705 is an apocalyptic number.

It is an amenable number.

105522320705 is a deficient number, since it is larger than the sum of its proper divisors (22152303295).

105522320705 is a wasteful number, since it uses less digits than its factorization.

105522320705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66248.

The product of its (nonzero) digits is 21000, while the sum is 32.

The spelling of 105522320705 in words is "one hundred five billion, five hundred twenty-two million, three hundred twenty thousand, seven hundred five".