104127275520 has 400 divisors, whose sum is σ = 374007858840. Its totient is φ = 27688697856.

The previous prime is 104127275513. The next prime is 104127275533. The reversal of 104127275520 is 25572721401.

104127275520 is a `hidden beast` number, since 1 + 0 + 4 + 127 + 2 + 7 + 5 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65037240576 + 39090034944 = 255024^2 + 197712^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135405696 + ... + 135406464.

Almost surely, 2^104127275520 is an apocalyptic number.

104127275520 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 104127275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187003929420).

104127275520 is an abundant number, since it is smaller than the sum of its proper divisors (269880583320).

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

104127275520 is an frugal number, since it uses more digits than its factorization.

104127275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 104127275520 its reverse (25572721401), we get a palindrome (129699996921).

The spelling of 104127275520 in words is "one hundred four billion, one hundred twenty-seven million, two hundred seventy-five thousand, five hundred twenty".