104048528097600 has 1008 divisors, whose sum is σ = 409269913049088. Its totient is φ = 25908308213760.

The previous prime is 104048528097559. The next prime is 104048528097637. The reversal of 104048528097600 is 6790825840401.

It is a happy number.

104048528097600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 8 + 5 + 28 + 0 + 9 + 7 + 600 = 666.

It is a super-3 number, since 3×104048528097600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 839357224 + ... + 839481176.

It is an arithmetic number, because the mean of its divisors is an integer number (406021739136).

Almost surely, 2^{104048528097600} is an apocalyptic number.

104048528097600 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 104048528097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204634956524544).

104048528097600 is an abundant number, since it is smaller than the sum of its proper divisors (305221384951488).

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

104048528097600 is a wasteful number, since it uses less digits than its factorization.

104048528097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124134 (or 124107 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 104048528097600 in words is "one hundred four trillion, forty-eight billion, five hundred twenty-eight million, ninety-seven thousand, six hundred".