100382882556 has 48 divisors (see below), whose sum is σ = 260341216128. Its totient is φ = 29845108800.

The previous prime is 100382882527. The next prime is 100382882557. The reversal of 100382882556 is 655288283001.

It is a super-2 number, since 2×100382882556² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100382882557) 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 15 ways as a sum of consecutive naturals, for example, 7167310 + ... + 7181301.

It is an arithmetic number, because the mean of its divisors is an integer number (5423775336).

Almost surely, 2^100382882556 is an apocalyptic number.

It is an amenable number.

100382882556 is an abundant number, since it is smaller than the sum of its proper divisors (159958333572).

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

100382882556 is a wasteful number, since it uses less digits than its factorization.

100382882556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14348682 (or 14348680 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 100382882556 in words is "one hundred billion, three hundred eighty-two million, eight hundred eighty-two thousand, five hundred fifty-six".