100868834556 has 216 divisors, whose sum is σ = 299704860000. Its totient is φ = 28519803648.

The previous prime is 100868834537. The next prime is 100868834579. The reversal of 100868834556 is 655438868001.

100868834556 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 8 + 83 + 4 + 556 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94357590 + ... + 94358658.

It is an arithmetic number, because the mean of its divisors is an integer number (1387522500).

Almost surely, 2^100868834556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100868834556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149852430000).

100868834556 is an abundant number, since it is smaller than the sum of its proper divisors (198836025444).

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

100868834556 is a wasteful number, since it uses less digits than its factorization.

100868834556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 100868834556 in words is "one hundred billion, eight hundred sixty-eight million, eight hundred thirty-four thousand, five hundred fifty-six".