10500006106 has 8 divisors (see below), whose sum is σ = 16676480340. Its totient is φ = 4941179328.

The previous prime is 10500006073. The next prime is 10500006107. The reversal of 10500006106 is 60160000501.

10500006106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9802782081 + 697224025 = 99009^2 + 26405^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10500006106² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500006107) 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 3 ways as a sum of consecutive naturals, for example, 154411821 + ... + 154411888.

Almost surely, 2^10500006106 is an apocalyptic number.

10500006106 is a deficient number, since it is larger than the sum of its proper divisors (6176474234).

10500006106 is a wasteful number, since it uses less digits than its factorization.

10500006106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308823728.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10500006106 its reverse (60160000501), we get a palindrome (70660006607).

The spelling of 10500006106 in words is "ten billion, five hundred million, six thousand, one hundred six".