105006056006 has 16 divisors (see below), whose sum is σ = 158457000384. Its totient is φ = 52187199744.

The previous prime is 105006055993. The next prime is 105006056009. The reversal of 105006056006 is 600650600501.

It is a super-2 number, since 2×105006056006² (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 105006056006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006056009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1527875 + ... + 1595121.

It is an arithmetic number, because the mean of its divisors is an integer number (9903562524).

Almost surely, 2^105006056006 is an apocalyptic number.

105006056006 is a deficient number, since it is larger than the sum of its proper divisors (53450944378).

105006056006 is a wasteful number, since it uses less digits than its factorization.

105006056006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71935.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 105006056006 its reverse (600650600501), we get a palindrome (705656656507).

The spelling of 105006056006 in words is "one hundred five billion, six million, fifty-six thousand, six".