42104160 has 144 divisors (see below), whose sum is σ = 164245536. Its totient is φ = 9621504.

The previous prime is 42104159. The next prime is 42104177. The reversal of 42104160 is 6140124.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7992 + ... + 12168.

It is an arithmetic number, because the mean of its divisors is an integer number (1140594).

Almost surely, 2^42104160 is an apocalyptic number.

42104160 is a gapful number since it is divisible by the number (40) 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 42104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82122768).

42104160 is an abundant number, since it is smaller than the sum of its proper divisors (122141376).

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

42104160 is a wasteful number, since it uses less digits than its factorization.

42104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42104160 is about 6488.7718406490. The cubic root of 42104160 is about 347.8897788074.

Adding to 42104160 its reverse (6140124), we get a palindrome (48244284).

The spelling of 42104160 in words is "forty-two million, one hundred four thousand, one hundred sixty".