100056110105105 has 64 divisors (see below), whose sum is σ = 149884983705600. Its totient is φ = 62293254405120.

The previous prime is 100056110105051. The next prime is 100056110105129. The reversal of 100056110105105 is 501501011650001.

It is not a de Polignac number, because 100056110105105 - 2⁸ = 100056110104849 is a prime.

It is a super-2 number, since 2×100056110105105² (a number of 29 digits) contains 22 as substring.

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, 974461049 + ... + 974563721.

It is an arithmetic number, because the mean of its divisors is an integer number (2341952870400).

Almost surely, 2^{100056110105105} is an apocalyptic number.

It is an amenable number.

100056110105105 is a deficient number, since it is larger than the sum of its proper divisors (49828873600495).

100056110105105 is a wasteful number, since it uses less digits than its factorization.

100056110105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105894.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 100056110105105 its reverse (501501011650001), we get a palindrome (601557121755106).

The spelling of 100056110105105 in words is "one hundred trillion, fifty-six billion, one hundred ten million, one hundred five thousand, one hundred five".