104444312430200 has 96 divisors (see below), whose sum is σ = 244518357636000. Its totient is φ = 41487903029760.

The previous prime is 104444312430191. The next prime is 104444312430229. The reversal of 104444312430200 is 2034213444401.

It is a super-2 number, since 2×104444312430200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131409194 + ... + 132201606.

It is an arithmetic number, because the mean of its divisors is an integer number (2547066225375).

Almost surely, 2^{104444312430200} is an apocalyptic number.

104444312430200 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 104444312430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122259178818000).

104444312430200 is an abundant number, since it is smaller than the sum of its proper divisors (140074045205800).

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

104444312430200 is a wasteful number, since it uses less digits than its factorization.

104444312430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797001 (or 796992 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 104444312430200 its reverse (2034213444401), we get a palindrome (106478525874601).

The spelling of 104444312430200 in words is "one hundred four trillion, four hundred forty-four billion, three hundred twelve million, four hundred thirty thousand, two hundred".