105066516553 has 8 divisors (see below), whose sum is σ = 107308524672. Its totient is φ = 102824781456.

The previous prime is 105066516551. The next prime is 105066516557. The reversal of 105066516553 is 355615660501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105066516553 - 2¹ = 105066516551 is a prime.

It is a super-3 number, since 3×105066516553³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105066516551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836026 + ... + 953452.

It is an arithmetic number, because the mean of its divisors is an integer number (13413565584).

Almost surely, 2^105066516553 is an apocalyptic number.

It is an amenable number.

105066516553 is a deficient number, since it is larger than the sum of its proper divisors (2242008119).

105066516553 is a wasteful number, since it uses less digits than its factorization.

105066516553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136511.

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 105066516553 in words is "one hundred five billion, sixty-six million, five hundred sixteen thousand, five hundred fifty-three".