104878080 has 156 divisors (see below), whose sum is σ = 364171860. Its totient is φ = 27918336.

The previous prime is 104878079. The next prime is 104878127. The reversal of 104878080 is 80878401.

It is a Cunningham number, because it is equal to 10241²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 78004224 = 5184^2 + 8832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184036 + ... + 184604.

It is an arithmetic number, because the mean of its divisors is an integer number (2334435).

Almost surely, 2^104878080 is an apocalyptic number.

104878080 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 104878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182085930).

104878080 is an abundant number, since it is smaller than the sum of its proper divisors (259293780).

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

104878080 is an equidigital number, since it uses as much as digits as its factorization.

104878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 104878080 is about 10240.9999511766. Note that the first 4 decimals coincide. The cubic root of 104878080 is about 471.5867300900.

The spelling of 104878080 in words is "one hundred four million, eight hundred seventy-eight thousand, eighty".