105744005403930 has 128 divisors (see below), whose sum is σ = 282501698941440. Its totient is φ = 28146662369280.

The previous prime is 105744005403917. The next prime is 105744005403937. The reversal of 105744005403930 is 39304500447501.

105744005403930 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 4 + 40 + 0 + 540 + 39 + 30 = 666.

105744005403930 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105744005403930² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105744005403937) 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 63 ways as a sum of consecutive naturals, for example, 527403900 + ... + 527604360.

It is an arithmetic number, because the mean of its divisors is an integer number (2207044522980).

Almost surely, 2^{105744005403930} is an apocalyptic number.

105744005403930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105744005403930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141250849470720).

105744005403930 is an abundant number, since it is smaller than the sum of its proper divisors (176757693537510).

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

105744005403930 is a wasteful number, since it uses less digits than its factorization.

105744005403930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204053 (or 204047 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 105744005403930 in words is "one hundred five trillion, seven hundred forty-four billion, five million, four hundred three thousand, nine hundred thirty".