105573400563773 has 2 divisors, whose sum is σ = 105573400563774. Its totient is φ = 105573400563772.

The previous prime is 105573400563767. The next prime is 105573400563811. The reversal of 105573400563773 is 377365004375501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104669309563204 + 904091000569 = 10230802^2 + 950837^2 .

It is a cyclic number.

It is not a de Polignac number, because 105573400563773 - 2⁸ = 105573400563517 is a prime.

It is a super-2 number, since 2×105573400563773² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105573400563973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52786700281886 + 52786700281887.

It is an arithmetic number, because the mean of its divisors is an integer number (52786700281887).

Almost surely, 2^{105573400563773} is an apocalyptic number.

It is an amenable number.

105573400563773 is a deficient number, since it is larger than the sum of its proper divisors (1).

105573400563773 is an equidigital number, since it uses as much as digits as its factorization.

105573400563773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27783000, while the sum is 56.

The spelling of 105573400563773 in words is "one hundred five trillion, five hundred seventy-three billion, four hundred million, five hundred sixty-three thousand, seven hundred seventy-three".