106010511057 has 24 divisors (see below), whose sum is σ = 169878178080. Its totient is φ = 63159828480.

The previous prime is 106010511023. The next prime is 106010511067. The reversal of 106010511057 is 750115010601.

It is a happy number.

106010511057 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 5 + 1 + 1 + 0 + 57 = 666.

It is not a de Polignac number, because 106010511057 - 2¹⁰ = 106010510033 is a prime.

It is a super-2 number, since 2×106010511057² (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 106010511057.

It is not an unprimeable number, because it can be changed into a prime (106010511007) 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 23 ways as a sum of consecutive naturals, for example, 9068848 + ... + 9080529.

It is an arithmetic number, because the mean of its divisors is an integer number (7078257420).

Almost surely, 2^106010511057 is an apocalyptic number.

It is an amenable number.

106010511057 is a deficient number, since it is larger than the sum of its proper divisors (63867667023).

106010511057 is a wasteful number, since it uses less digits than its factorization.

106010511057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149453 (or 18149450 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

Adding to 106010511057 its reverse (750115010601), we get a palindrome (856125521658).

The spelling of 106010511057 in words is "one hundred six billion, ten million, five hundred eleven thousand, fifty-seven".