104456160 has 216 divisors, whose sum is σ = 380166696. Its totient is φ = 26112000.

The previous prime is 104456153. The next prime is 104456161. The reversal of 104456160 is 61654401.

104456160 is a `hidden beast` number, since 1 + 0 + 4 + 45 + 616 + 0 = 666.

It is a super-2 number, since 2×104456160² = 21822178723891200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104456161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416035 + ... + 416285.

It is an arithmetic number, because the mean of its divisors is an integer number (1760031).

Almost surely, 2^104456160 is an apocalyptic number.

104456160 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 104456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190083348).

104456160 is an abundant number, since it is smaller than the sum of its proper divisors (275710536).

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

104456160 is a wasteful number, since it uses less digits than its factorization.

104456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

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

The square root of 104456160 is about 10220.3796406983. The cubic root of 104456160 is about 470.9534891257.

The spelling of 104456160 in words is "one hundred four million, four hundred fifty-six thousand, one hundred sixty".