105132880419168 has 768 divisors, whose sum is σ = 340332204441600. Its totient is φ = 27773066280960.

The previous prime is 105132880419163. The next prime is 105132880419241. The reversal of 105132880419168 is 861914088231501.

It is a happy number.

It is a super-2 number, since 2×105132880419168² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132880419163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74615244448 + ... + 74615245856.

It is an arithmetic number, because the mean of its divisors is an integer number (443140891200).

Almost surely, 2^{105132880419168} 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 105132880419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170166102220800).

105132880419168 is an abundant number, since it is smaller than the sum of its proper divisors (235199324022432).

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

105132880419168 is a wasteful number, since it uses less digits than its factorization.

105132880419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 105132880419168 in words is "one hundred five trillion, one hundred thirty-two billion, eight hundred eighty million, four hundred nineteen thousand, one hundred sixty-eight".