105609772768649 has 2 divisors, whose sum is σ = 105609772768650. Its totient is φ = 105609772768648.

The previous prime is 105609772768637. The next prime is 105609772768673. The reversal of 105609772768649 is 946867277906501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80598971602249 + 25010801166400 = 8977693^2 + 5001080^2 .

It is a cyclic number.

It is not a de Polignac number, because 105609772768649 - 2²⁴ = 105609755991433 is a prime.

It is a super-2 number, since 2×105609772768649² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105609772768649.

It is not a weakly prime, because it can be changed into another prime (105609772765649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52804886384324 + 52804886384325.

It is an arithmetic number, because the mean of its divisors is an integer number (52804886384325).

Almost surely, 2^{105609772768649} is an apocalyptic number.

It is an amenable number.

105609772768649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105609772768649 is an equidigital number, since it uses as much as digits as its factorization.

105609772768649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920360960, while the sum is 77.

The spelling of 105609772768649 in words is "one hundred five trillion, six hundred nine billion, seven hundred seventy-two million, seven hundred sixty-eight thousand, six hundred forty-nine".