104109678288 has 720 divisors, whose sum is σ = 392175613440. Its totient is φ = 25423372800.

The previous prime is 104109678247. The next prime is 104109678301. The reversal of 104109678288 is 882876901401.

104109678288 is a `hidden beast` number, since 10 + 410 + 9 + 67 + 82 + 88 = 666.

It is a super-2 number, since 2×104109678288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 334757653 + ... + 334757963.

It is an arithmetic number, because the mean of its divisors is an integer number (544688352).

Almost surely, 2^104109678288 is an apocalyptic number.

104109678288 is a gapful number since it is divisible by the number (18) 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 104109678288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196087806720).

104109678288 is an abundant number, since it is smaller than the sum of its proper divisors (288065935152).

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

104109678288 is a wasteful number, since it uses less digits than its factorization.

104109678288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 104109678288 in words is "one hundred four billion, one hundred nine million, six hundred seventy-eight thousand, two hundred eighty-eight".