105326643214140 has 288 divisors, whose sum is σ = 312253163078976. Its totient is φ = 26522340556800.

The previous prime is 105326643214129. The next prime is 105326643214187. The reversal of 105326643214140 is 41412346623501.

It is a super-2 number, since 2×105326643214140² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105326643214092 and 105326643214101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1234548124 + ... + 1234633436.

It is an arithmetic number, because the mean of its divisors is an integer number (1084212371802).

Almost surely, 2^{105326643214140} is an apocalyptic number.

105326643214140 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 105326643214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156126581539488).

105326643214140 is an abundant number, since it is smaller than the sum of its proper divisors (206926519864836).

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

105326643214140 is a wasteful number, since it uses less digits than its factorization.

105326643214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85869 (or 85844 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 105326643214140 its reverse (41412346623501), we get a palindrome (146738989837641).

The spelling of 105326643214140 in words is "one hundred five trillion, three hundred twenty-six billion, six hundred forty-three million, two hundred fourteen thousand, one hundred forty".