106885388654573 has 2 divisors, whose sum is σ = 106885388654574. Its totient is φ = 106885388654572.

The previous prime is 106885388654533. The next prime is 106885388654669. The reversal of 106885388654573 is 375456883588601.

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., 76784946340804 + 30100442313769 = 8762702^2 + 5486387^2 .

It is a cyclic number.

It is not a de Polignac number, because 106885388654573 - 2⁶ = 106885388654509 is a prime.

It is a super-3 number, since 3×106885388654573³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106885388654494 and 106885388654503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106885388654533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53442694327286 + 53442694327287.

It is an arithmetic number, because the mean of its divisors is an integer number (53442694327287).

Almost surely, 2^{106885388654573} is an apocalyptic number.

It is an amenable number.

106885388654573 is a deficient number, since it is larger than the sum of its proper divisors (1).

106885388654573 is an equidigital number, since it uses as much as digits as its factorization.

106885388654573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864000, while the sum is 77.

The spelling of 106885388654573 in words is "one hundred six trillion, eight hundred eighty-five billion, three hundred eighty-eight million, six hundred fifty-four thousand, five hundred seventy-three".