105753325751203 has 16 divisors (see below), whose sum is σ = 114003665093920. Its totient is φ = 97519531205376.

The previous prime is 105753325751197. The next prime is 105753325751207. The reversal of 105753325751203 is 302157523357501.

It is a cyclic number.

It is not a de Polignac number, because 105753325751203 - 2³³ = 105744735816611 is a prime.

It is a super-2 number, since 2×105753325751203² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105753325751207) 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, 50505151 + ... + 52557367.

It is an arithmetic number, because the mean of its divisors is an integer number (7125229068370).

Almost surely, 2^{105753325751203} is an apocalyptic number.

105753325751203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105753325751203 is a deficient number, since it is larger than the sum of its proper divisors (8250339342717).

105753325751203 is a wasteful number, since it uses less digits than its factorization.

105753325751203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056246.

The product of its (nonzero) digits is 3307500, while the sum is 49.

The spelling of 105753325751203 in words is "one hundred five trillion, seven hundred fifty-three billion, three hundred twenty-five million, seven hundred fifty-one thousand, two hundred three".