100106110071 has 24 divisors (see below), whose sum is σ = 158543717904. Its totient is φ = 60362386560.

The previous prime is 100106110057. The next prime is 100106110073. The reversal of 100106110071 is 170011601001.

It is not a de Polignac number, because 100106110071 - 2⁹ = 100106109559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106110073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2546926 + ... + 2585931.

It is an arithmetic number, because the mean of its divisors is an integer number (6605988246).

Almost surely, 2^100106110071 is an apocalyptic number.

100106110071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100106110071 is a deficient number, since it is larger than the sum of its proper divisors (58437607833).

100106110071 is a wasteful number, since it uses less digits than its factorization.

100106110071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133071 (or 5133068 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 100106110071 its reverse (170011601001), we get a palindrome (270117711072).

The spelling of 100106110071 in words is "one hundred billion, one hundred six million, one hundred ten thousand, seventy-one".