105505510056 has 32 divisors (see below), whose sum is σ = 268234351200. Its totient is φ = 34572426560.

The previous prime is 105505510051. The next prime is 105505510069. The reversal of 105505510056 is 650015505501.

It is a super-2 number, since 2×105505510056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505509999 and 105505510026.

It is not an unprimeable number, because it can be changed into a prime (105505510051) 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, 37253355 + ... + 37256186.

It is an arithmetic number, because the mean of its divisors is an integer number (8382323475).

Almost surely, 2^105505510056 is an apocalyptic number.

It is an amenable number.

105505510056 is an abundant number, since it is smaller than the sum of its proper divisors (162728841144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505510056 is a wasteful number, since it uses less digits than its factorization.

105505510056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74509609 (or 74509605 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105505510056 in words is "one hundred five billion, five hundred five million, five hundred ten thousand, fifty-six".