100106050006000 has 80 divisors (see below), whose sum is σ = 254796241059360. Its totient is φ = 37934924198400.

The previous prime is 100106050005989. The next prime is 100106050006031. The reversal of 100106050006000 is 600050601001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317146869 + ... + 1317222868.

It is an arithmetic number, because the mean of its divisors is an integer number (3184953013242).

Almost surely, 2^{100106050006000} is an apocalyptic number.

100106050006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100106050006000 is an abundant number, since it is smaller than the sum of its proper divisors (154690191053360).

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

100106050006000 is a wasteful number, since it uses less digits than its factorization.

100106050006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634369779 (or 2634369763 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 100106050006000 in words is "one hundred trillion, one hundred six billion, fifty million, six thousand".