105005000056 has 32 divisors (see below), whose sum is σ = 216224478000. Its totient is φ = 47409207040.

The previous prime is 105005000041. The next prime is 105005000057. The reversal of 105005000056 is 650000500501.

It is a super-2 number, since 2×105005000056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005000057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991045 + ... + 4017268.

Almost surely, 2^105005000056 is an apocalyptic number.

It is an amenable number.

105005000056 is an abundant number, since it is smaller than the sum of its proper divisors (111219477944).

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

105005000056 is a wasteful number, since it uses less digits than its factorization.

105005000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008479 (or 8008475 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

Adding to 105005000056 its reverse (650000500501), we get a palindrome (755005500557).

The spelling of 105005000056 in words is "one hundred five billion, five million, fifty-six", and thus it is an aban number.