105106211 has 8 divisors (see below), whose sum is σ = 120280320. Its totient is φ = 89971848.

The previous prime is 105106201. The next prime is 105106217. The reversal of 105106211 is 112601501.

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 105106211 - 2¹⁴ = 105089827 is a prime.

It is a super-2 number, since 2×105106211² = 22094631181553042, 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 105106211.

It is not an unprimeable number, because it can be changed into a prime (105106217) 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 7 ways as a sum of consecutive naturals, for example, 4031 + ... + 15048.

It is an arithmetic number, because the mean of its divisors is an integer number (15035040).

Almost surely, 2^105106211 is an apocalyptic number.

105106211 is a deficient number, since it is larger than the sum of its proper divisors (15174109).

105106211 is an equidigital number, since it uses as much as digits as its factorization.

105106211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 105106211 is about 10252.1320221698. The cubic root of 105106211 is about 471.9284145841.

Adding to 105106211 its reverse (112601501), we get a palindrome (217707712).

The spelling of 105106211 in words is "one hundred five million, one hundred six thousand, two hundred eleven".