100105111101075 has 24 divisors (see below), whose sum is σ = 166373646452736. Its totient is φ = 53109866964000.

The previous prime is 100105111101041. The next prime is 100105111101103. The reversal of 100105111101075 is 570101111501001.

It is not a de Polignac number, because 100105111101075 - 2²⁶ = 100105043992211 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494055871 + ... + 3494084520.

It is an arithmetic number, because the mean of its divisors is an integer number (6932235268864).

Almost surely, 2^{100105111101075} is an apocalyptic number.

100105111101075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100105111101075 is a deficient number, since it is larger than the sum of its proper divisors (66268535351661).

100105111101075 is a wasteful number, since it uses less digits than its factorization.

100105111101075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988140595 (or 6988140590 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 24.

Adding to 100105111101075 its reverse (570101111501001), we get a palindrome (670206222602076).

The spelling of 100105111101075 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, seventy-five".