100006110072 has 96 divisors (see below), whose sum is σ = 301759361280. Its totient is φ = 29660086080.

The previous prime is 100006110059. The next prime is 100006110079. The reversal of 100006110072 is 270011600001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006110079) 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 23 ways as a sum of consecutive naturals, for example, 1306078 + ... + 1380525.

It is an arithmetic number, because the mean of its divisors is an integer number (3143326680).

Almost surely, 2^100006110072 is an apocalyptic number.

100006110072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100006110072 is an abundant number, since it is smaller than the sum of its proper divisors (201753251208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100006110072 is a wasteful number, since it uses less digits than its factorization.

100006110072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686673 (or 2686666 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 100006110072 its reverse (270011600001), we get a palindrome (370017710073).

The spelling of 100006110072 in words is "one hundred billion, six million, one hundred ten thousand, seventy-two".