104600160 has 240 divisors, whose sum is σ = 422253216. Its totient is φ = 23887872.

The previous prime is 104600137. The next prime is 104600161. The reversal of 104600160 is 61006401.

104600160 is a `hidden beast` number, since 1 + 0 + 4 + 600 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×104600160³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104600161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90144 + ... + 91296.

Almost surely, 2^104600160 is an apocalyptic number.

104600160 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 104600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211126608).

104600160 is an abundant number, since it is smaller than the sum of its proper divisors (317653056).

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

104600160 is a wasteful number, since it uses less digits than its factorization.

104600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104600160 is about 10227.4219625476. The cubic root of 104600160 is about 471.1698036787.

Adding to 104600160 its reverse (61006401), we get a palindrome (165606561).

The spelling of 104600160 in words is "one hundred four million, six hundred thousand, one hundred sixty".