105145066656663 has 16 divisors (see below), whose sum is σ = 152939644118400. Its totient is φ = 63723713928480.

The previous prime is 105145066656577. The next prime is 105145066656709. The reversal of 105145066656663 is 366656660541501.

It is not a de Polignac number, because 105145066656663 - 2¹³ = 105145066648471 is a prime.

It is a super-2 number, since 2×105145066656663² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105145066656597 and 105145066656606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145066656263) 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, 10454968 + ... + 17877261.

It is an arithmetic number, because the mean of its divisors is an integer number (9558727757400).

Almost surely, 2^{105145066656663} is an apocalyptic number.

105145066656663 is a deficient number, since it is larger than the sum of its proper divisors (47794577461737).

105145066656663 is a wasteful number, since it uses less digits than its factorization.

105145066656663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28444702.

The product of its (nonzero) digits is 69984000, while the sum is 60.

The spelling of 105145066656663 in words is "one hundred five trillion, one hundred forty-five billion, sixty-six million, six hundred fifty-six thousand, six hundred sixty-three".