104224414444200 has 144 divisors (see below), whose sum is σ = 350030063857500. Its totient is φ = 27792403891200.

The previous prime is 104224414444093. The next prime is 104224414444223. The reversal of 104224414444200 is 2444414422401.

104224414444200 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 4 + 4 + 1 + 4 + 444 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19585776038724 + 84638638405476 = 4425582^2 + 9199926^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65418676 + ... + 66992924.

Almost surely, 2^{104224414444200} is an apocalyptic number.

104224414444200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104224414444200 is an abundant number, since it is smaller than the sum of its proper divisors (245805649413300).

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

104224414444200 is a wasteful number, since it uses less digits than its factorization.

104224414444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611052 (or 1611040 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 104224414444200 its reverse (2444414422401), we get a palindrome (106668828866601).

The spelling of 104224414444200 in words is "one hundred four trillion, two hundred twenty-four billion, four hundred fourteen million, four hundred forty-four thousand, two hundred".