100805618048 has 64 divisors (see below), whose sum is σ = 206713036800. Its totient is φ = 48941609472.

The previous prime is 100805618033. The next prime is 100805618071. The reversal of 100805618048 is 840816508001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100805617996 and 100805618014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698063 + ... + 830001.

It is an arithmetic number, because the mean of its divisors is an integer number (3229891200).

Almost surely, 2^100805618048 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 100805618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103356518400).

100805618048 is an abundant number, since it is smaller than the sum of its proper divisors (105907418752).

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

100805618048 is a wasteful number, since it uses less digits than its factorization.

100805618048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132127 (or 132115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The spelling of 100805618048 in words is "one hundred billion, eight hundred five million, six hundred eighteen thousand, forty-eight".