105716669881 has 9 divisors (see below), whose sum is σ = 106088961069. Its totient is φ = 105345684000.

The previous prime is 105716669879. The next prime is 105716669893. The reversal of 105716669881 is 188966617501.

The square root of 105716669881 is 325141.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7584842281 + 98131827600 = 87091^2 + 313260^2 .

It is not a de Polignac number, because 105716669881 - 2¹ = 105716669879 is a prime.

It is a super-2 number, since 2×105716669881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105716619881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175900981 + ... + 175901581.

It is an arithmetic number, because the mean of its divisors is an integer number (11787662341).

Almost surely, 2^105716669881 is an apocalyptic number.

105716669881 is the 325141-st square number.

105716669881 is the 162571-st centered octagonal number.

It is an amenable number.

105716669881 is a deficient number, since it is larger than the sum of its proper divisors (372291188).

105716669881 is an frugal number, since it uses more digits than its factorization.

105716669881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 105716669881 in words is "one hundred five billion, seven hundred sixteen million, six hundred sixty-nine thousand, eight hundred eighty-one".