104444102400 has 864 divisors, whose sum is σ = 391096801536. Its totient is φ = 24532992000.

The previous prime is 104444102387. The next prime is 104444102537. The reversal of 104444102400 is 4201444401.

It is a happy number.

It is a super-2 number, since 2×104444102400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1558867167 + ... + 1558867233.

Almost surely, 2^104444102400 is an apocalyptic number.

104444102400 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 104444102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195548400768).

104444102400 is an abundant number, since it is smaller than the sum of its proper divisors (286652699136).

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

104444102400 is an equidigital number, since it uses as much as digits as its factorization.

104444102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104444102400 its reverse (4201444401), we get a palindrome (108645546801).

The spelling of 104444102400 in words is "one hundred four billion, four hundred forty-four million, one hundred two thousand, four hundred".