104395200 has 336 divisors, whose sum is σ = 423306240. Its totient is φ = 21934080.

The previous prime is 104395169. The next prime is 104395219. The reversal of 104395200 is 2593401.

104395200 = T₁₄₆₉ + T₁₄₇₀ + ... + T₁₅₅₉.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436681 + ... + 436919.

It is an arithmetic number, because the mean of its divisors is an integer number (1259840).

Almost surely, 2^104395200 is an apocalyptic number.

104395200 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 104395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

104395200 is an abundant number, since it is smaller than the sum of its proper divisors (318911040).

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

104395200 is a wasteful number, since it uses less digits than its factorization.

104395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 104395200 is about 10217.3969287681. The cubic root of 104395200 is about 470.8618560700.

The spelling of 104395200 in words is "one hundred four million, three hundred ninety-five thousand, two hundred".