105703664641 has 9 divisors (see below), whose sum is σ = 106515132321. Its totient is φ = 104898339924.

The previous prime is 105703664617. The next prime is 105703664653. The reversal of 105703664641 is 146466307501.

The square root of 105703664641 is 325121.

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

It is not a de Polignac number, because 105703664641 - 2²⁵ = 105670110209 is a prime.

It is a super-2 number, since 2×105703664641² (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 (105703664141) 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, 45190650 + ... + 45192988.

Almost surely, 2^105703664641 is an apocalyptic number.

105703664641 is the 325121-st square number.

105703664641 is the 162561-st centered octagonal number.

It is an amenable number.

105703664641 is a deficient number, since it is larger than the sum of its proper divisors (811467680).

105703664641 is an frugal number, since it uses more digits than its factorization.

105703664641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 105703664641 in words is "one hundred five billion, seven hundred three million, six hundred sixty-four thousand, six hundred forty-one".