104146560 has 480 divisors, whose sum is σ = 443201220. Its totient is φ = 23224320.

The previous prime is 104146481. The next prime is 104146561. The reversal of 104146560 is 65641401.

104146560 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 12446784 = 9576^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104146561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540140 + ... + 2540180.

Almost surely, 2^104146560 is an apocalyptic number.

104146560 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 104146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221600610).

104146560 is an abundant number, since it is smaller than the sum of its proper divisors (339054660).

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

104146560 is an equidigital number, since it uses as much as digits as its factorization.

104146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104146560 is about 10205.2221925836. Note that the first 3 decimals coincide. The cubic root of 104146560 is about 470.4877387360.

Adding to 104146560 its reverse (65641401), we get a palindrome (169787961).

The spelling of 104146560 in words is "one hundred four million, one hundred forty-six thousand, five hundred sixty".