105553065790689 has 16 divisors (see below), whose sum is σ = 153532664745984. Its totient is φ = 63971166405200.

The previous prime is 105553065790673. The next prime is 105553065790691. The reversal of 105553065790689 is 986097560355501.

It is a cyclic number.

It is not a de Polignac number, because 105553065790689 - 2⁴ = 105553065790673 is a prime.

It is a super-2 number, since 2×105553065790689² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105553065790609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4153449 + ... + 15111494.

It is an arithmetic number, because the mean of its divisors is an integer number (9595791546624).

Almost surely, 2^{105553065790689} is an apocalyptic number.

It is an amenable number.

105553065790689 is a deficient number, since it is larger than the sum of its proper divisors (47979598955295).

105553065790689 is a wasteful number, since it uses less digits than its factorization.

105553065790689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19430988.

The product of its (nonzero) digits is 306180000, while the sum is 69.

The spelling of 105553065790689 in words is "one hundred five trillion, five hundred fifty-three billion, sixty-five million, seven hundred ninety thousand, six hundred eighty-nine".