10006105610555 has 32 divisors (see below), whose sum is σ = 12384000498240. Its totient is φ = 7756494059520.

The previous prime is 10006105610551. The next prime is 10006105610563. The reversal of 10006105610555 is 55501650160001.

It is not a de Polignac number, because 10006105610555 - 2² = 10006105610551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006105610551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49788311 + ... + 49988879.

It is an arithmetic number, because the mean of its divisors is an integer number (387000015570).

Almost surely, 2^{10006105610555} is an apocalyptic number.

10006105610555 is a deficient number, since it is larger than the sum of its proper divisors (2377894887685).

10006105610555 is a wasteful number, since it uses less digits than its factorization.

10006105610555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202271.

The product of its (nonzero) digits is 22500, while the sum is 35.

Adding to 10006105610555 its reverse (55501650160001), we get a palindrome (65507755770556).

The spelling of 10006105610555 in words is "ten trillion, six billion, one hundred five million, six hundred ten thousand, five hundred fifty-five".