105426053462961 has 81 divisors (see below), whose sum is σ = 194716883200203. Its totient is φ = 54765548893440.

The previous prime is 105426053462941. The next prime is 105426053462971. The reversal of 105426053462961 is 169264350624501.

The square root of 105426053462961 is 10267719.

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

105426053462961 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 6 + 0 + 5 + 3 + 4 + 629 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90792674333361 + 14633379129600 = 9528519^2 + 3825360^2 .

It is not a de Polignac number, because 105426053462961 - 2⁵ = 105426053462929 is a prime.

It is a super-2 number, since 2×105426053462961² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105426053462898 and 105426053462907.

It is not an unprimeable number, because it can be changed into a prime (105426053462941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2371820865 + ... + 2371865313.

Almost surely, 2^{105426053462961} is an apocalyptic number.

105426053462961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105426053462961 is the 10267719-th square number.

105426053462961 is the 5133860-th centered octagonal number.

It is an amenable number.

105426053462961 is a deficient number, since it is larger than the sum of its proper divisors (89290829737242).

105426053462961 is an frugal number, since it uses more digits than its factorization.

105426053462961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88940 (or 44470 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 105426053462961 in words is "one hundred five trillion, four hundred twenty-six billion, fifty-three million, four hundred sixty-two thousand, nine hundred sixty-one".