104163840 has 320 divisors, whose sum is σ = 406581120. Its totient is φ = 25067520.

The previous prime is 104163827. The next prime is 104163841. The reversal of 104163840 is 48361401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×104163840³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104163841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760252 + ... + 760388.

It is an arithmetic number, because the mean of its divisors is an integer number (1270566).

Almost surely, 2^104163840 is an apocalyptic number.

104163840 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 104163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203290560).

104163840 is an abundant number, since it is smaller than the sum of its proper divisors (302417280).

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

104163840 is a wasteful number, since it uses less digits than its factorization.

104163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104163840 is about 10206.0687828370. The cubic root of 104163840 is about 470.5137584097.

The spelling of 104163840 in words is "one hundred four million, one hundred sixty-three thousand, eight hundred forty".