105871223484352 has 224 divisors, whose sum is σ = 224204070280320. Its totient is φ = 49506957803520.

The previous prime is 105871223484269. The next prime is 105871223484371. The reversal of 105871223484352 is 253484322178501.

It is a happy number.

It is a super-2 number, since 2×105871223484352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105871223484293 and 105871223484302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39052460277 + ... + 39052462987.

Almost surely, 2^{105871223484352} 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 105871223484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112102035140160).

105871223484352 is an abundant number, since it is smaller than the sum of its proper divisors (118332846795968).

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

105871223484352 is a wasteful number, since it uses less digits than its factorization.

105871223484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 105871223484352 in words is "one hundred five trillion, eight hundred seventy-one billion, two hundred twenty-three million, four hundred eighty-four thousand, three hundred fifty-two".