104560800 has 144 divisors (see below), whose sum is σ = 358414560. Its totient is φ = 26403840.

The previous prime is 104560789. The next prime is 104560811. The reversal of 104560800 is 8065401.

It is an interprime number because it is at equal distance from previous prime (104560789) and next prime (104560811).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44454 + ... + 46746.

It is an arithmetic number, because the mean of its divisors is an integer number (2488990).

Almost surely, 2^104560800 is an apocalyptic number.

104560800 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 104560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179207280).

104560800 is an abundant number, since it is smaller than the sum of its proper divisors (253853760).

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

104560800 is a wasteful number, since it uses less digits than its factorization.

104560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 104560800 is about 10225.4975429071. The cubic root of 104560800 is about 471.1106974272.

The spelling of 104560800 in words is "one hundred four million, five hundred sixty thousand, eight hundred".