105829071744 has 384 divisors, whose sum is σ = 328189455360. Its totient is φ = 29964748800.

The previous prime is 105829071743. The next prime is 105829071749. The reversal of 105829071744 is 447170928501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105829071744² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105829071693 and 105829071702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105829071743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3413841009 + ... + 3413841039.

It is an arithmetic number, because the mean of its divisors is an integer number (854660040).

Almost surely, 2^105829071744 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 105829071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094727680).

105829071744 is an abundant number, since it is smaller than the sum of its proper divisors (222360383616).

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

105829071744 is an frugal number, since it uses more digits than its factorization.

105829071744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 105829071744 in words is "one hundred five billion, eight hundred twenty-nine million, seventy-one thousand, seven hundred forty-four".