104442143100 has 288 divisors, whose sum is σ = 323864271360. Its totient is φ = 25909632000.

The previous prime is 104442143023. The next prime is 104442143131. The reversal of 104442143100 is 1341244401.

It is a super-2 number, since 2×104442143100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170378394 + ... + 170379006.

It is an arithmetic number, because the mean of its divisors is an integer number (1124528720).

Almost surely, 2^104442143100 is an apocalyptic number.

104442143100 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 104442143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932135680).

104442143100 is an abundant number, since it is smaller than the sum of its proper divisors (219422128260).

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

104442143100 is a wasteful number, since it uses less digits than its factorization.

104442143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104442143100 its reverse (1341244401), we get a palindrome (105783387501).

The spelling of 104442143100 in words is "one hundred four billion, four hundred forty-two million, one hundred forty-three thousand, one hundred".