100105105105506 has 64 divisors (see below), whose sum is σ = 202742322596352. Its totient is φ = 32948463787392.

The previous prime is 100105105105501. The next prime is 100105105105529. The reversal of 100105105105506 is 605501501501001.

It is not an unprimeable number, because it can be changed into a prime (100105105105501) 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, 582913705 + ... + 583085411.

It is an arithmetic number, because the mean of its divisors is an integer number (3167848790568).

Almost surely, 2^{100105105105506} is an apocalyptic number.

100105105105506 is an abundant number, since it is smaller than the sum of its proper divisors (102637217490846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100105105105506 is a wasteful number, since it uses less digits than its factorization.

100105105105506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174783.

The product of its (nonzero) digits is 3750, while the sum is 30.

Adding to 100105105105506 its reverse (605501501501001), we get a palindrome (705606606606507).

The spelling of 100105105105506 in words is "one hundred trillion, one hundred five billion, one hundred five million, one hundred five thousand, five hundred six".