100106110072 has 16 divisors (see below), whose sum is σ = 187824195000. Its totient is φ = 50019658080.

The previous prime is 100106110057. The next prime is 100106110073. The reversal of 100106110072 is 270011601001.

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 (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4161879 + ... + 4185862.

Almost surely, 2^100106110072 is an apocalyptic number.

It is an amenable number.

100106110072 is a deficient number, since it is larger than the sum of its proper divisors (87718084928).

100106110072 is a wasteful number, since it uses less digits than its factorization.

100106110072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349246 (or 8349242 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 100106110072 its reverse (270011601001), we get a palindrome (370117711073).

The spelling of 100106110072 in words is "one hundred billion, one hundred six million, one hundred ten thousand, seventy-two".