100105106010003 has 16 divisors (see below), whose sum is σ = 149370795011200. Its totient is φ = 66256616925000.

The previous prime is 100105106010001. The next prime is 100105106010059. The reversal of 100105106010003 is 300010601501001.

100105106010003 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 51 + 0 + 601 + 0 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 100105106010003 - 2¹ = 100105106010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105106010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13336674373 + ... + 13336681878.

It is an arithmetic number, because the mean of its divisors is an integer number (9335674688200).

Almost surely, 2^{100105106010003} is an apocalyptic number.

100105106010003 is a deficient number, since it is larger than the sum of its proper divisors (49265689001197).

100105106010003 is a wasteful number, since it uses less digits than its factorization.

100105106010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26673356399 (or 26673356393 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 100105106010003 its reverse (300010601501001), we get a palindrome (400115707511004).

The spelling of 100105106010003 in words is "one hundred trillion, one hundred five billion, one hundred six million, ten thousand, three".