105132220031424 has 224 divisors, whose sum is σ = 299804693760000. Its totient is φ = 32406687968256.

The previous prime is 105132220031357. The next prime is 105132220031483. The reversal of 105132220031424 is 424130022231501.

It is a happy number.

It is a super-2 number, since 2×105132220031424² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105132220031391 and 105132220031400.

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, 244336027 + ... + 244765925.

Almost surely, 2^{105132220031424} 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 105132220031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149902346880000).

105132220031424 is an abundant number, since it is smaller than the sum of its proper divisors (194672473728576).

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

105132220031424 is a wasteful number, since it uses less digits than its factorization.

105132220031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431535 (or 431525 counting only the distinct ones).

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

Adding to 105132220031424 its reverse (424130022231501), we get a palindrome (529262242262925).

The spelling of 105132220031424 in words is "one hundred five trillion, one hundred thirty-two billion, two hundred twenty million, thirty-one thousand, four hundred twenty-four".