105424031544000 has 448 divisors, whose sum is σ = 375867101675520. Its totient is φ = 25882745548800.

The previous prime is 105424031543953. The next prime is 105424031544061. The reversal of 105424031544000 is 445130424501.

It is a happy number.

It is a super-2 number, since 2×105424031544000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119054881 + ... + 119937119.

It is an arithmetic number, because the mean of its divisors is an integer number (838989066240).

Almost surely, 2^{105424031544000} is an apocalyptic number.

105424031544000 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 105424031544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187933550837760).

105424031544000 is an abundant number, since it is smaller than the sum of its proper divisors (270443070131520).

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

105424031544000 is a wasteful number, since it uses less digits than its factorization.

105424031544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882665 (or 882645 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 105424031544000 its reverse (445130424501), we get a palindrome (105869161968501).

The spelling of 105424031544000 in words is "one hundred five trillion, four hundred twenty-four billion, thirty-one million, five hundred forty-four thousand".