102334102143444 has 144 divisors (see below), whose sum is σ = 264208639968000. Its totient is φ = 33387123006720.

The previous prime is 102334102143391. The next prime is 102334102143529. The reversal of 102334102143444 is 444341201433201.

102334102143444 is a `hidden beast` number, since 1 + 0 + 2 + 33 + 41 + 0 + 2 + 143 + 444 = 666.

It is a super-3 number, since 3×102334102143444³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 102334102143399 and 102334102143408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3710297734 + ... + 3710325314.

It is an arithmetic number, because the mean of its divisors is an integer number (1834782222000).

Almost surely, 2^{102334102143444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102334102143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132104319984000).

102334102143444 is an abundant number, since it is smaller than the sum of its proper divisors (161874537824556).

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

102334102143444 is a wasteful number, since it uses less digits than its factorization.

102334102143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35198 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 102334102143444 its reverse (444341201433201), we get a palindrome (546675303576645).

The spelling of 102334102143444 in words is "one hundred two trillion, three hundred thirty-four billion, one hundred two million, one hundred forty-three thousand, four hundred forty-four".