104824800 has 288 divisors, whose sum is σ = 397474560. Its totient is φ = 26611200.

The previous prime is 104824799. The next prime is 104824801. The reversal of 104824800 is 8428401.

104824800 is a `hidden beast` number, since 104 + 82 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104824799) and next prime (104824801).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104824801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496695 + ... + 496905.

It is an arithmetic number, because the mean of its divisors is an integer number (1380120).

Almost surely, 2^104824800 is an apocalyptic number.

104824800 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 104824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280).

104824800 is an abundant number, since it is smaller than the sum of its proper divisors (292649760).

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

104824800 is a wasteful number, since it uses less digits than its factorization.

104824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 104824800 is about 10238.3983122361. The cubic root of 104824800 is about 471.5068583092.

The spelling of 104824800 in words is "one hundred four million, eight hundred twenty-four thousand, eight hundred".