106050006000 has 160 divisors (see below), whose sum is σ = 379894881600. Its totient is φ = 28279987200.

The previous prime is 106050005993. The next prime is 106050006001. The reversal of 106050006000 is 600050601.

106050006000 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 0 + 0 + 0 + 600 + 0 = 666.

It is a super-2 number, since 2×106050006000² (a number of 23 digits) contains 22 as substring.

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 (106050006001) 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 31 ways as a sum of consecutive naturals, for example, 927945 + ... + 1035944.

It is an arithmetic number, because the mean of its divisors is an integer number (2374343010).

Almost surely, 2^106050006000 is an apocalyptic number.

106050006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106050006000 is an abundant number, since it is smaller than the sum of its proper divisors (273844875600).

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

106050006000 is a wasteful number, since it uses less digits than its factorization.

106050006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963921 (or 1963899 counting only the distinct ones).

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

Adding to 106050006000 its reverse (600050601), we get a palindrome (106650056601).

The spelling of 106050006000 in words is "one hundred six billion, fifty million, six thousand".