104520544128 has 1024 divisors, whose sum is σ = 420421478400. Its totient is φ = 24992686080.

The previous prime is 104520544099. The next prime is 104520544159. The reversal of 104520544128 is 821445025401.

104520544128 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 205 + 441 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104520544092 and 104520544101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280215750 + ... + 280216122.

It is an arithmetic number, because the mean of its divisors is an integer number (410567850).

Almost surely, 2^104520544128 is an apocalyptic number.

104520544128 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 104520544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210210739200).

104520544128 is an abundant number, since it is smaller than the sum of its proper divisors (315900934272).

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

104520544128 is an equidigital number, since it uses as much as digits as its factorization.

104520544128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 104520544128 its reverse (821445025401), we get a palindrome (925965569529).

The spelling of 104520544128 in words is "one hundred four billion, five hundred twenty million, five hundred forty-four thousand, one hundred twenty-eight".