105055056010 has 32 divisors (see below), whose sum is σ = 191056222800. Its totient is φ = 41589146112.

The previous prime is 105055055981. The next prime is 105055056019. The reversal of 105055056010 is 10650550501.

It can be written as a sum of positive squares in 8 ways, for example, as 22271682169 + 82783373841 = 149237^2 + 287721^2 .

It is a super-2 number, since 2×105055056010² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105055056010.

It is not an unprimeable number, because it can be changed into a prime (105055056019) 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 15 ways as a sum of consecutive naturals, for example, 285462 + ... + 539998.

Almost surely, 2^105055056010 is an apocalyptic number.

105055056010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105055056010 is a deficient number, since it is larger than the sum of its proper divisors (86001166790).

105055056010 is a wasteful number, since it uses less digits than its factorization.

105055056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254970.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105055056010 in words is "one hundred five billion, fifty-five million, fifty-six thousand, ten".