100804648672 has 384 divisors, whose sum is σ = 273194208000. Its totient is φ = 36213424128.

The previous prime is 100804648667. The next prime is 100804648709. The reversal of 100804648672 is 276846408001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70344468 + ... + 70345900.

It is an arithmetic number, because the mean of its divisors is an integer number (711443250).

Almost surely, 2^100804648672 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 100804648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136597104000).

100804648672 is an abundant number, since it is smaller than the sum of its proper divisors (172389559328).

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

100804648672 is a wasteful number, since it uses less digits than its factorization.

100804648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 100804648672 in words is "one hundred billion, eight hundred four million, six hundred forty-eight thousand, six hundred seventy-two".