104006132825280 has 224 divisors, whose sum is σ = 377411453927424. Its totient is φ = 23771710869504.

The previous prime is 104006132825269. The next prime is 104006132825297. The reversal of 104006132825280 is 82528231600401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146767489 + ... + 147474431.

It is an arithmetic number, because the mean of its divisors is an integer number (1684872562176).

Almost surely, 2^{104006132825280} is an apocalyptic number.

104006132825280 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 104006132825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188705726963712).

104006132825280 is an abundant number, since it is smaller than the sum of its proper divisors (273405321102144).

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

104006132825280 is a wasteful number, since it uses less digits than its factorization.

104006132825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728863 (or 728853 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 104006132825280 in words is "one hundred four trillion, six billion, one hundred thirty-two million, eight hundred twenty-five thousand, two hundred eighty".