10001006105055 has 64 divisors (see below), whose sum is σ = 18588724435968. Its totient is φ = 4496606991360.

The previous prime is 10001006104979. The next prime is 10001006105089. The reversal of 10001006105055 is 55050160010001.

It is not a de Polignac number, because 10001006105055 - 2⁷ = 10001006104927 is a prime.

It is a super-2 number, since 2×10001006105055² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100143507 + ... + 100243323.

It is an arithmetic number, because the mean of its divisors is an integer number (290448819312).

Almost surely, 2^{10001006105055} is an apocalyptic number.

10001006105055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001006105055 is a deficient number, since it is larger than the sum of its proper divisors (8587718330913).

10001006105055 is a wasteful number, since it uses less digits than its factorization.

10001006105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115536.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10001006105055 its reverse (55050160010001), we get a palindrome (65051166115056).

The spelling of 10001006105055 in words is "ten trillion, one billion, six million, one hundred five thousand, fifty-five".