100856064314880 has 2560 divisors, whose sum is σ = 443214432460800. Its totient is φ = 21504817889280.

The previous prime is 100856064314879. The next prime is 100856064314891. The reversal of 100856064314880 is 88413460658001.

100856064314880 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 560 + 6 + 4 + 31 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36957149356 + ... + 36957152084.

It is an arithmetic number, because the mean of its divisors is an integer number (173130637680).

Almost surely, 2^{100856064314880} is an apocalyptic number.

100856064314880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100856064314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221607216230400).

100856064314880 is an abundant number, since it is smaller than the sum of its proper divisors (342358368145920).

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

100856064314880 is an frugal number, since it uses more digits than its factorization.

100856064314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 100856064314880 in words is "one hundred trillion, eight hundred fifty-six billion, sixty-four million, three hundred fourteen thousand, eight hundred eighty".