106010000511057 has 24 divisors (see below), whose sum is σ = 155636833480128. Its totient is φ = 69514297884000.

The previous prime is 106010000511047. The next prime is 106010000511091. The reversal of 106010000511057 is 750115000010601.

It is a happy number.

106010000511057 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 0 + 0 + 0 + 5 + 1 + 1 + 0 + 57 = 666.

It is not a de Polignac number, because 106010000511057 - 2¹⁰ = 106010000510033 is a prime.

It is a super-2 number, since 2×106010000511057² (a number of 29 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 106010000511057.

It is not an unprimeable number, because it can be changed into a prime (106010000511047) 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, 96600478 + ... + 97691720.

It is an arithmetic number, because the mean of its divisors is an integer number (6484868061672).

Almost surely, 2^{106010000511057} is an apocalyptic number.

It is an amenable number.

106010000511057 is a deficient number, since it is larger than the sum of its proper divisors (49626832969071).

106010000511057 is a wasteful number, since it uses less digits than its factorization.

106010000511057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268261 (or 1268258 counting only the distinct ones).

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

Adding to 106010000511057 its reverse (750115000010601), we get a palindrome (856125000521658).

The spelling of 106010000511057 in words is "one hundred six trillion, ten billion, five hundred eleven thousand, fifty-seven".