104354680320 has 320 divisors, whose sum is σ = 404377332480. Its totient is φ = 25297920000.

The previous prime is 104354680307. The next prime is 104354680321. The reversal of 104354680320 is 23086453401.

104354680320 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 546 + 80 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104354680321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691695 + ... + 828945.

It is an arithmetic number, because the mean of its divisors is an integer number (1263679164).

Almost surely, 2^104354680320 is an apocalyptic number.

104354680320 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 104354680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202188666240).

104354680320 is an abundant number, since it is smaller than the sum of its proper divisors (300022652160).

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

104354680320 is a wasteful number, since it uses less digits than its factorization.

104354680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137294 (or 137272 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104354680320 in words is "one hundred four billion, three hundred fifty-four million, six hundred eighty thousand, three hundred twenty".