104857200 has 480 divisors, whose sum is σ = 455129600. Its totient is φ = 22394880.

The previous prime is 104857199. The next prime is 104857201. The reversal of 104857200 is 2758401.

It is an interprime number because it is at equal distance from previous prime (104857199) and next prime (104857201).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104857201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436364 + ... + 1436436.

Almost surely, 2^104857200 is an apocalyptic number.

104857200 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 104857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227564800).

104857200 is an abundant number, since it is smaller than the sum of its proper divisors (350272400).

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

104857200 is a wasteful number, since it uses less digits than its factorization.

104857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 104857200 is about 10239.9804687314. The cubic root of 104857200 is about 471.5554322107. Note that the first 3 decimals are identical.

The spelling of 104857200 in words is "one hundred four million, eight hundred fifty-seven thousand, two hundred".