104755200 has 312 divisors, whose sum is σ = 390022656. Its totient is φ = 24576000.

The previous prime is 104755187. The next prime is 104755201. The reversal of 104755200 is 2557401.

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 not an unprimeable number, because it can be changed into a prime (104755201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379185 + ... + 3379215.

Almost surely, 2^104755200 is an apocalyptic number.

104755200 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 104755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195011328).

104755200 is an abundant number, since it is smaller than the sum of its proper divisors (285267456).

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

104755200 is a wasteful number, since it uses less digits than its factorization.

104755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 104755200 is about 10234.9987787005. The cubic root of 104755200 is about 471.4024805185.

The spelling of 104755200 in words is "one hundred four million, seven hundred fifty-five thousand, two hundred".