100105111101073 has 8 divisors (see below), whose sum is σ = 107806006526400. Its totient is φ = 92404287427728.

The previous prime is 100105111101041. The next prime is 100105111101103. The reversal of 100105111101073 is 370101111501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100105111101073 - 2⁵ = 100105111101041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100105111104073) 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 7 ways as a sum of consecutive naturals, for example, 15022813 + ... + 20637226.

It is an arithmetic number, because the mean of its divisors is an integer number (13475750815800).

Almost surely, 2^{100105111101073} is an apocalyptic number.

100105111101073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100105111101073 is a deficient number, since it is larger than the sum of its proper divisors (7700895425327).

100105111101073 is a wasteful number, since it uses less digits than its factorization.

100105111101073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35875991.

The product of its (nonzero) digits is 105, while the sum is 22.

Adding to 100105111101073 its reverse (370101111501001), we get a palindrome (470206222602074).

The spelling of 100105111101073 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, seventy-three".