105573400563517 has 2 divisors, whose sum is σ = 105573400563518. Its totient is φ = 105573400563516.

The previous prime is 105573400563511. The next prime is 105573400563583. The reversal of 105573400563517 is 715365004375501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86993283426361 + 18580117137156 = 9327019^2 + 4310466^2 .

It is a cyclic number.

It is not a de Polignac number, because 105573400563517 - 2³⁹ = 105023644749629 is a prime.

It is a super-2 number, since 2×105573400563517² (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 (105573400563511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52786700281758 + 52786700281759.

It is an arithmetic number, because the mean of its divisors is an integer number (52786700281759).

Almost surely, 2^{105573400563517} is an apocalyptic number.

It is an amenable number.

105573400563517 is a deficient number, since it is larger than the sum of its proper divisors (1).

105573400563517 is an equidigital number, since it uses as much as digits as its factorization.

105573400563517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615000, while the sum is 52.

The spelling of 105573400563517 in words is "one hundred five trillion, five hundred seventy-three billion, four hundred million, five hundred sixty-three thousand, five hundred seventeen".