100506046874382 has 12 divisors (see below), whose sum is σ = 217763101561200. Its totient is φ = 33502015624788.

The previous prime is 100506046874377. The next prime is 100506046874407. The reversal of 100506046874382 is 283478640605001.

It is a happy number.

100506046874382 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 60 + 468 + 7 + 43 + 82 = 666.

100506046874382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2791834635382 + ... + 2791834635417.

It is an arithmetic number, because the mean of its divisors is an integer number (18146925130100).

Almost surely, 2^{100506046874382} is an apocalyptic number.

100506046874382 is an abundant number, since it is smaller than the sum of its proper divisors (117257054686818).

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

100506046874382 is a wasteful number, since it uses less digits than its factorization.

100506046874382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583669270807 (or 5583669270804 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 100506046874382 in words is "one hundred trillion, five hundred six billion, forty-six million, eight hundred seventy-four thousand, three hundred eighty-two".