105666521710 has 32 divisors (see below), whose sum is σ = 194662413792. Its totient is φ = 41275301760.

The previous prime is 105666521693. The next prime is 105666521713. The reversal of 105666521710 is 17125666501.

It is a super-2 number, since 2×105666521710² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666521713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367400 + ... + 2411620.

It is an arithmetic number, because the mean of its divisors is an integer number (6083200431).

Almost surely, 2^105666521710 is an apocalyptic number.

105666521710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105666521710 is a deficient number, since it is larger than the sum of its proper divisors (88995892082).

105666521710 is a wasteful number, since it uses less digits than its factorization.

105666521710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49828.

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 105666521710 in words is "one hundred five billion, six hundred sixty-six million, five hundred twenty-one thousand, seven hundred ten".