105666521701 has 8 divisors (see below), whose sum is σ = 119783911520. Its totient is φ = 92404731312.

The previous prime is 105666521693. The next prime is 105666521713. The reversal of 105666521701 is 107125666501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105666521701 - 2³ = 105666521693 is a prime.

It is a super-2 number, since 2×105666521701² (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 (105666521771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213899595 + ... + 213900088.

It is an arithmetic number, because the mean of its divisors is an integer number (14972988940).

Almost surely, 2^105666521701 is an apocalyptic number.

It is an amenable number.

105666521701 is a deficient number, since it is larger than the sum of its proper divisors (14117389819).

105666521701 is a wasteful number, since it uses less digits than its factorization.

105666521701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427799715.

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

The spelling of 105666521701 in words is "one hundred five billion, six hundred sixty-six million, five hundred twenty-one thousand, seven hundred one".