104125464576 has 1024 divisors, whose sum is σ = 398620569600. Its totient is φ = 26159874048.

The previous prime is 104125464539. The next prime is 104125464601. The reversal of 104125464576 is 675464521401.

104125464576 is a `hidden beast` number, since 1 + 0 + 4 + 12 + 5 + 4 + 64 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×104125464576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2421522411 + ... + 2421522453.

It is an arithmetic number, because the mean of its divisors is an integer number (389277900).

Almost surely, 2^104125464576 is an apocalyptic number.

104125464576 is a gapful number since it is divisible by the number (16) 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 104125464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199310284800).

104125464576 is an abundant number, since it is smaller than the sum of its proper divisors (294495105024).

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

104125464576 is an equidigital number, since it uses as much as digits as its factorization.

104125464576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 104125464576 its reverse (675464521401), we get a palindrome (779589985977).

The spelling of 104125464576 in words is "one hundred four billion, one hundred twenty-five million, four hundred sixty-four thousand, five hundred seventy-six".