105729344160 has 192 divisors, whose sum is σ = 367703400960. Its totient is φ = 25322439680.

The previous prime is 105729344159. The next prime is 105729344177. The reversal of 105729344160 is 61443927501.

It is a super-2 number, since 2×105729344160² (a number of 23 digits) contains 22 as substring.

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, 317611 + ... + 558869.

It is an arithmetic number, because the mean of its divisors is an integer number (1915121880).

Almost surely, 2^105729344160 is an apocalyptic number.

105729344160 is a gapful number since it is divisible by the number (10) 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 105729344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183851700480).

105729344160 is an abundant number, since it is smaller than the sum of its proper divisors (261974056800).

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

105729344160 is a wasteful number, since it uses less digits than its factorization.

105729344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241371 (or 241363 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 105729344160 in words is "one hundred five billion, seven hundred twenty-nine million, three hundred forty-four thousand, one hundred sixty".