100106110053 has 48 divisors (see below), whose sum is σ = 156983112000.
Its totient is φ = 61225984512.
The previous prime is 100106110051. The next prime is 100106110057. The reversal of 100106110053 is 350011601001.
Adding to 100106110053 its reverse (350011601001), we get a palindrome (450117711054).
100106110053 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 611 + 0 + 0 + 53 = 666.
It is not a de Polignac number, because 100106110053 - 21 = 100106110051 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100106110051) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3267675 + ... + 3298167.
It is an arithmetic number, because the mean of its divisors is an integer number (3270481500).
Almost surely, 2100106110053 is an apocalyptic number.
It is an amenable number.
100106110053 is a deficient number, since it is larger than the sum of its proper divisors (56877001947).
100106110053 is a wasteful number, since it uses less digits than its factorization.
100106110053 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31058 (or 31055 counting only the distinct ones).
The product of its (nonzero) digits is 90, while the sum is 18.
The spelling of 100106110053 in words is "one hundred billion, one hundred six million, one hundred ten thousand, fifty-three".