105052211 has 16 divisors (see below), whose sum is σ = 118886400. Its totient is φ = 91963200.

The previous prime is 105052177. The next prime is 105052223. The reversal of 105052211 is 112250501.

It is a cyclic number.

It is not a de Polignac number, because 105052211 - 2¹⁰ = 105051187 is a prime.

It is a super-2 number, since 2×105052211² = 22071934071977042, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105052211.

It is not an unprimeable number, because it can be changed into a prime (105052111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80855 + ... + 82143.

It is an arithmetic number, because the mean of its divisors is an integer number (7430400).

Almost surely, 2^105052211 is an apocalyptic number.

105052211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105052211 is a deficient number, since it is larger than the sum of its proper divisors (13834189).

105052211 is a wasteful number, since it uses less digits than its factorization.

105052211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105052211 is about 10249.4980852723. The cubic root of 105052211 is about 471.8475804777.

The spelling of 105052211 in words is "one hundred five million, fifty-two thousand, two hundred eleven".