105342341324000 has 192 divisors, whose sum is σ = 282426371764992. Its totient is φ = 38296729152000.

The previous prime is 105342341323993. The next prime is 105342341324039. The reversal of 105342341324000 is 423143243501.

It is a super-2 number, since 2×105342341324000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176890739 + ... + 177485261.

It is an arithmetic number, because the mean of its divisors is an integer number (1470970686276).

Almost surely, 2^{105342341324000} is an apocalyptic number.

105342341324000 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 105342341324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141213185882496).

105342341324000 is an abundant number, since it is smaller than the sum of its proper divisors (177084030440992).

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

105342341324000 is a wasteful number, since it uses less digits than its factorization.

105342341324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598586 (or 598568 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 105342341324000 its reverse (423143243501), we get a palindrome (105765484567501).

The spelling of 105342341324000 in words is "one hundred five trillion, three hundred forty-two billion, three hundred forty-one million, three hundred twenty-four thousand".