104731200 has 252 divisors, whose sum is σ = 425825920. Its totient is φ = 23915520.

The previous prime is 104731183. The next prime is 104731219. The reversal of 104731200 is 2137401.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100281 + ... + 101319.

Almost surely, 2^104731200 is an apocalyptic number.

104731200 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 104731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212912960).

104731200 is an abundant number, since it is smaller than the sum of its proper divisors (321094720).

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

104731200 is a wasteful number, since it uses less digits than its factorization.

104731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 104731200 is about 10233.8262639152. The cubic root of 104731200 is about 471.3664774573.

Adding to 104731200 its reverse (2137401), we get a palindrome (106868601).

The spelling of 104731200 in words is "one hundred four million, seven hundred thirty-one thousand, two hundred".