105681557569 has 9 divisors (see below), whose sum is σ = 122938336611. Its totient is φ = 90582241680.

The previous prime is 105681557539. The next prime is 105681557573. The reversal of 105681557569 is 965755186501.

It is a happy number.

The square root of 105681557569 is 325087.

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

It can be written as a sum of positive squares in only one way, i.e., 15249039169 + 90432518400 = 123487^2 + 300720^2 .

It is not a de Polignac number, because 105681557569 - 2⁷ = 105681557441 is a prime.

It is a super-2 number, since 2×105681557569² (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 (105681557539) 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, 2252389 + ... + 2298829.

It is an arithmetic number, because the mean of its divisors is an integer number (13659815179).

Almost surely, 2^105681557569 is an apocalyptic number.

105681557569 is the 325087-th square number.

105681557569 is the 162544-th centered octagonal number.

It is an amenable number.

105681557569 is a deficient number, since it is larger than the sum of its proper divisors (17256779042).

105681557569 is an frugal number, since it uses more digits than its factorization.

105681557569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92896 (or 46448 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 58.

The spelling of 105681557569 in words is "one hundred five billion, six hundred eighty-one million, five hundred fifty-seven thousand, five hundred sixty-nine".