8142106011 has 64 divisors (see below), whose sum is σ = 12305018880. Its totient is φ = 4754880000.

The previous prime is 8142106001. The next prime is 8142106039. The reversal of 8142106011 is 1106012418.

It is not a de Polignac number, because 8142106011 - 2⁷ = 8142105883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8142106001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15996025 + ... + 15996533.

It is an arithmetic number, because the mean of its divisors is an integer number (192265920).

Almost surely, 2^8142106011 is an apocalyptic number.

8142106011 is a deficient number, since it is larger than the sum of its proper divisors (4162912869).

8142106011 is a wasteful number, since it uses less digits than its factorization.

8142106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 8142106011 is about 90233.6190729376. The cubic root of 8142106011 is about 2011.7727329899.

Adding to 8142106011 its reverse (1106012418), we get a palindrome (9248118429).

The spelling of 8142106011 in words is "eight billion, one hundred forty-two million, one hundred six thousand, eleven".