104437278720 has 864 divisors, whose sum is σ = 403708687200. Its totient is φ = 25822789632.

The previous prime is 104437278709. The next prime is 104437278721. The reversal of 104437278720 is 27872734401.

104437278720 is a `hidden beast` number, since 1 + 0 + 443 + 72 + 78 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104437278721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2222069737 + ... + 2222069783.

It is an arithmetic number, because the mean of its divisors is an integer number (467255425).

Almost surely, 2^104437278720 is an apocalyptic number.

104437278720 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 104437278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201854343600).

104437278720 is an abundant number, since it is smaller than the sum of its proper divisors (299271408480).

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

104437278720 is an frugal number, since it uses more digits than its factorization.

104437278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 104437278720 in words is "one hundred four billion, four hundred thirty-seven million, two hundred seventy-eight thousand, seven hundred twenty".