105506056060551 has 24 divisors (see below), whose sum is σ = 154989067222080. Its totient is φ = 69148968235776.

The previous prime is 105506056060547. The next prime is 105506056060571. The reversal of 105506056060551 is 155060650605501.

It is not a de Polignac number, because 105506056060551 - 2² = 105506056060547 is a prime.

It is a super-3 number, since 3×105506056060551³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105506056060497 and 105506056060506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506056060511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318270126 + ... + 318601451.

It is an arithmetic number, because the mean of its divisors is an integer number (6457877800920).

Almost surely, 2^{105506056060551} is an apocalyptic number.

105506056060551 is a deficient number, since it is larger than the sum of its proper divisors (49483011161529).

105506056060551 is a wasteful number, since it uses less digits than its factorization.

105506056060551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636871895 (or 636871892 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 105506056060551 in words is "one hundred five trillion, five hundred six billion, fifty-six million, sixty thousand, five hundred fifty-one".