105520617066511 has 8 divisors (see below), whose sum is σ = 105594388162848. Its totient is φ = 105446849376000.

The previous prime is 105520617066391. The next prime is 105520617066587. The reversal of 105520617066511 is 115660716025501.

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 105520617066511 - 2²⁹ = 105520080195599 is a prime.

It is a super-2 number, since 2×105520617066511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105520617067511) 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, 62796006 + ... + 64454476.

It is an arithmetic number, because the mean of its divisors is an integer number (13199298520356).

Almost surely, 2^{105520617066511} is an apocalyptic number.

105520617066511 is a deficient number, since it is larger than the sum of its proper divisors (73771096337).

105520617066511 is a wasteful number, since it uses less digits than its factorization.

105520617066511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702913.

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 105520617066511 in words is "one hundred five trillion, five hundred twenty billion, six hundred seventeen million, sixty-six thousand, five hundred eleven".