105598351681 has 9 divisors (see below), whose sum is σ = 106629585699. Its totient is φ = 104577005544.

The previous prime is 105598351669. The next prime is 105598351723. The reversal of 105598351681 is 186153895501.

The square root of 105598351681 is 324959.

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., 89439874225 + 16158477456 = 299065^2 + 127116^2 .

It is not a de Polignac number, because 105598351681 - 2¹⁹ = 105597827393 is a prime.

It is a super-2 number, since 2×105598351681² (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 (105598301681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34769095 + ... + 34772131.

Almost surely, 2^105598351681 is an apocalyptic number.

105598351681 is the 324959-th square number.

105598351681 is the 162480-th centered octagonal number.

It is an amenable number.

105598351681 is a deficient number, since it is larger than the sum of its proper divisors (1031234018).

105598351681 is an frugal number, since it uses more digits than its factorization.

105598351681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 52.

The spelling of 105598351681 in words is "one hundred five billion, five hundred ninety-eight million, three hundred fifty-one thousand, six hundred eighty-one".