105132414324 has 288 divisors, whose sum is σ = 304338456576. Its totient is φ = 28117877760.

The previous prime is 105132414323. The next prime is 105132414329. The reversal of 105132414324 is 423414231501.

It is a super-2 number, since 2×105132414324² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105132414291 and 105132414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132414323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88569259 + ... + 88570445.

It is an arithmetic number, because the mean of its divisors is an integer number (1056730752).

Almost surely, 2^105132414324 is an apocalyptic number.

105132414324 is a gapful number since it is divisible by the number (14) 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 105132414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152169228288).

105132414324 is an abundant number, since it is smaller than the sum of its proper divisors (199206042252).

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

105132414324 is a wasteful number, since it uses less digits than its factorization.

105132414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 105132414324 its reverse (423414231501), we get a palindrome (528546645825).

The spelling of 105132414324 in words is "one hundred five billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred twenty-four".