105661216053 has 12 divisors (see below), whose sum is σ = 152628615360. Its totient is φ = 70437645096.

The previous prime is 105661216051. The next prime is 105661216099. The reversal of 105661216053 is 350612166501.

105661216053 is a `hidden beast` number, since 10 + 566 + 1 + 21 + 60 + 5 + 3 = 666.

It is not a de Polignac number, because 105661216053 - 2¹ = 105661216051 is a prime.

It is a super-2 number, since 2×105661216053² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105661215999 and 105661216017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105661216051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42651 + ... + 461672.

It is an arithmetic number, because the mean of its divisors is an integer number (12719051280).

Almost surely, 2^105661216053 is an apocalyptic number.

It is an amenable number.

105661216053 is a deficient number, since it is larger than the sum of its proper divisors (46967399307).

105661216053 is a wasteful number, since it uses less digits than its factorization.

105661216053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527608 (or 527605 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105661216053 in words is "one hundred five billion, six hundred sixty-one million, two hundred sixteen thousand, fifty-three".