105073852211 has 16 divisors (see below), whose sum is σ = 110840832000. Its totient is φ = 99412413408.

The previous prime is 105073852157. The next prime is 105073852319. The reversal of 105073852211 is 112258370501.

It is a cyclic number.

It is not a de Polignac number, because 105073852211 - 2¹⁸ = 105073590067 is a prime.

It is a super-2 number, since 2×105073852211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105073852511) 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, 754910 + ... + 883196.

It is an arithmetic number, because the mean of its divisors is an integer number (6927552000).

Almost surely, 2^105073852211 is an apocalyptic number.

105073852211 is a deficient number, since it is larger than the sum of its proper divisors (5766979789).

105073852211 is a wasteful number, since it uses less digits than its factorization.

105073852211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128698.

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 105073852211 in words is "one hundred five billion, seventy-three million, eight hundred fifty-two thousand, two hundred eleven".