100105099185999 has 16 divisors (see below), whose sum is σ = 138076919042400. Its totient is φ = 64435036732416.

The previous prime is 100105099185947. The next prime is 100105099186019. The reversal of 100105099185999 is 999581990501001.

It is not a de Polignac number, because 100105099185999 - 2¹⁵ = 100105099153231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105099185929) 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, 9563367 + ... + 17078295.

It is an arithmetic number, because the mean of its divisors is an integer number (8629807440150).

Almost surely, 2^{100105099185999} is an apocalyptic number.

100105099185999 is a deficient number, since it is larger than the sum of its proper divisors (37971819856401).

100105099185999 is a wasteful number, since it uses less digits than its factorization.

100105099185999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668074.

The product of its (nonzero) digits is 11809800, while the sum is 66.

The spelling of 100105099185999 in words is "one hundred trillion, one hundred five billion, ninety-nine million, one hundred eighty-five thousand, nine hundred ninety-nine".