105731718803649 has 81 divisors (see below), whose sum is σ = 156177702351489. Its totient is φ = 68928745219920.

The previous prime is 105731718803593. The next prime is 105731718803717. The reversal of 105731718803649 is 946308817137501.

The square root of 105731718803649 is 10282593.

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

105731718803649 is a `hidden beast` number, since 1 + 0 + 573 + 1 + 7 + 18 + 8 + 0 + 3 + 6 + 49 = 666.

It is not a de Polignac number, because 105731718803649 - 2¹¹ = 105731718801601 is a prime.

It is a super-2 number, since 2×105731718803649² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105731718803849) 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, 339973372204 + ... + 339973372514.

Almost surely, 2^{105731718803649} is an apocalyptic number.

105731718803649 is the 10282593-rd square number.

105731718803649 is the 5141297-th centered octagonal number.

It is an amenable number.

105731718803649 is a deficient number, since it is larger than the sum of its proper divisors (50445983547840).

105731718803649 is an frugal number, since it uses more digits than its factorization.

105731718803649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 105731718803649 in words is "one hundred five trillion, seven hundred thirty-one billion, seven hundred eighteen million, eight hundred three thousand, six hundred forty-nine".