105721711566 has 16 divisors (see below), whose sum is σ = 211970718288. Its totient is φ = 35152688000.

The previous prime is 105721711549. The next prime is 105721711597. The reversal of 105721711566 is 665117127501.

It is a super-3 number, since 3×105721711566³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21968025 + ... + 21972836.

It is an arithmetic number, because the mean of its divisors is an integer number (13248169893).

Almost surely, 2^105721711566 is an apocalyptic number.

105721711566 is an abundant number, since it is smaller than the sum of its proper divisors (106249006722).

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

105721711566 is a wasteful number, since it uses less digits than its factorization.

105721711566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43941267.

The product of its (nonzero) digits is 88200, while the sum is 42.

The spelling of 105721711566 in words is "one hundred five billion, seven hundred twenty-one million, seven hundred eleven thousand, five hundred sixty-six".