105753329583034 has 32 divisors (see below), whose sum is σ = 190184299142400. Its totient is φ = 43143660430080.

The previous prime is 105753329582987. The next prime is 105753329583037. The reversal of 105753329583034 is 430385923357501.

It is a happy number.

It is a super-2 number, since 2×105753329583034² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 105753329583034.

It is not an unprimeable number, because it can be changed into a prime (105753329583037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834310479 + ... + 1834368130.

It is an arithmetic number, because the mean of its divisors is an integer number (5943259348200).

Almost surely, 2^{105753329583034} is an apocalyptic number.

105753329583034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105753329583034 is a deficient number, since it is larger than the sum of its proper divisors (84430969559366).

105753329583034 is a wasteful number, since it uses less digits than its factorization.

105753329583034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668678718.

The product of its (nonzero) digits is 40824000, while the sum is 58.

The spelling of 105753329583034 in words is "one hundred five trillion, seven hundred fifty-three billion, three hundred twenty-nine million, five hundred eighty-three thousand, thirty-four".