100681812864 has 192 divisors, whose sum is σ = 300977389440. Its totient is φ = 33502035456.

The previous prime is 100681812859. The next prime is 100681812883. The reversal of 100681812864 is 468218186001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20121787 + ... + 20126789.

It is an arithmetic number, because the mean of its divisors is an integer number (1567590570).

Almost surely, 2^100681812864 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 100681812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150488694720).

100681812864 is an abundant number, since it is smaller than the sum of its proper divisors (200295576576).

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

100681812864 is an frugal number, since it uses more digits than its factorization.

100681812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

Adding to 100681812864 its reverse (468218186001), we get a palindrome (568899998865).

The spelling of 100681812864 in words is "one hundred billion, six hundred eighty-one million, eight hundred twelve thousand, eight hundred sixty-four".