100105099186001 has 16 divisors (see below), whose sum is σ = 124426140050688. Its totient is φ = 78419836152000.

The previous prime is 100105099185947. The next prime is 100105099186019. The reversal of 100105099186001 is 100681990501001.

It is a happy number.

It is not a de Polignac number, because 100105099186001 - 2¹⁰ = 100105099184977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100105099186001.

It is not an unprimeable number, because it can be changed into a prime (100105099189001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5445812765 + ... + 5445831146.

It is an arithmetic number, because the mean of its divisors is an integer number (7776633753168).

Almost surely, 2^{100105099186001} is an apocalyptic number.

It is an amenable number.

100105099186001 is a deficient number, since it is larger than the sum of its proper divisors (24321040864687).

100105099186001 is a wasteful number, since it uses less digits than its factorization.

100105099186001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891644032.

The product of its (nonzero) digits is 19440, while the sum is 41.

The spelling of 100105099186001 in words is "one hundred trillion, one hundred five billion, ninety-nine million, one hundred eighty-six thousand, one".