105605260551 has 48 divisors (see below), whose sum is σ = 177993504000. Its totient is φ = 60310856592.

The previous prime is 105605260549. The next prime is 105605260667. The reversal of 105605260551 is 155062506501.

105605260551 is a `hidden beast` number, since 1 + 0 + 56 + 0 + 52 + 6 + 0 + 551 = 666.

It is not a de Polignac number, because 105605260551 - 2¹ = 105605260549 is a prime.

It is a super-2 number, since 2×105605260551² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605260511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5877940 + ... + 5895878.

It is an arithmetic number, because the mean of its divisors is an integer number (3708198000).

Almost surely, 2^105605260551 is an apocalyptic number.

105605260551 is a deficient number, since it is larger than the sum of its proper divisors (72388243449).

105605260551 is a wasteful number, since it uses less digits than its factorization.

105605260551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873 (or 19856 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 105605260551 in words is "one hundred five billion, six hundred five million, two hundred sixty thousand, five hundred fifty-one".