105203052112211 has 8 divisors (see below), whose sum is σ = 107499172923648. Its totient is φ = 102929553181000.

The previous prime is 105203052112189. The next prime is 105203052112217. The reversal of 105203052112211 is 112211250302501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105203052112211 - 2³⁰ = 105201978370387 is a prime.

It is a super-2 number, since 2×105203052112211² (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 (105203052112217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5655460655 + ... + 5655479256.

It is an arithmetic number, because the mean of its divisors is an integer number (13437396615456).

Almost surely, 2^{105203052112211} is an apocalyptic number.

105203052112211 is a deficient number, since it is larger than the sum of its proper divisors (2296120811437).

105203052112211 is a wasteful number, since it uses less digits than its factorization.

105203052112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310940113.

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 105203052112211 in words is "one hundred five trillion, two hundred three billion, fifty-two million, one hundred twelve thousand, two hundred eleven".