104442144300 has 324 divisors, whose sum is σ = 358573924800. Its totient is φ = 25276838400.

The previous prime is 104442144277. The next prime is 104442144319. The reversal of 104442144300 is 3441244401.

104442144300 is a `hidden beast` number, since 1 + 0 + 444 + 214 + 4 + 3 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43534501 + ... + 43536899.

Almost surely, 2^104442144300 is an apocalyptic number.

104442144300 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 104442144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179286962400).

104442144300 is an abundant number, since it is smaller than the sum of its proper divisors (254131780500).

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

104442144300 is a wasteful number, since it uses less digits than its factorization.

104442144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104442144300 its reverse (3441244401), we get a palindrome (107883388701).

The spelling of 104442144300 in words is "one hundred four billion, four hundred forty-two million, one hundred forty-four thousand, three hundred".