104274838080 has 504 divisors, whose sum is σ = 432687423168. Its totient is φ = 23833377792.

The previous prime is 104274838067. The next prime is 104274838091. The reversal of 104274838080 is 80838472401.

104274838080 is a `hidden beast` number, since 10 + 4 + 2 + 7 + 483 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×104274838080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3796557 + ... + 3823923.

It is an arithmetic number, because the mean of its divisors is an integer number (858506792).

Almost surely, 2^104274838080 is an apocalyptic number.

104274838080 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 104274838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216343711584).

104274838080 is an abundant number, since it is smaller than the sum of its proper divisors (328412585088).

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

104274838080 is an equidigital number, since it uses as much as digits as its factorization.

104274838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27413 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 104274838080 in words is "one hundred four billion, two hundred seventy-four million, eight hundred thirty-eight thousand, eighty".