100105110106005 has 24 divisors (see below), whose sum is σ = 161988039492192. Its totient is φ = 52789511184256.

The previous prime is 100105110105997. The next prime is 100105110106009. The reversal of 100105110106005 is 500601011501001.

It is a happy number.

It is not a de Polignac number, because 100105110106005 - 2³ = 100105110105997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105110106009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421145799 + ... + 421383428.

It is an arithmetic number, because the mean of its divisors is an integer number (6749501645508).

Almost surely, 2^{100105110106005} is an apocalyptic number.

100105110106005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100105110106005 is a deficient number, since it is larger than the sum of its proper divisors (61882929386187).

100105110106005 is an frugal number, since it uses more digits than its factorization.

100105110106005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842529413 (or 842529324 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100105110106005 its reverse (500601011501001), we get a palindrome (600706121607006).

The spelling of 100105110106005 in words is "one hundred trillion, one hundred five billion, one hundred ten million, one hundred six thousand, five".