100506006000 has 480 divisors, whose sum is σ = 380796002496. Its totient is φ = 24606720000.

The previous prime is 100506005909. The next prime is 100506006001. The reversal of 100506006000 is 600605001.

100506006000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 60 + 0 + 600 + 0 = 666.

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 (100506006001) 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 95 ways as a sum of consecutive naturals, for example, 12541995 + ... + 12550005.

Almost surely, 2^100506006000 is an apocalyptic number.

100506006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100506006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190398001248).

100506006000 is an abundant number, since it is smaller than the sum of its proper divisors (280289996496).

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

100506006000 is a wasteful number, since it uses less digits than its factorization.

100506006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 100506006000 in words is "one hundred billion, five hundred six million, six thousand".