105233211 has 12 divisors (see below), whose sum is σ = 158612688. Its totient is φ = 67105104.

The previous prime is 105233209. The next prime is 105233221. The reversal of 105233211 is 112332501.

It is not a de Polignac number, because 105233211 - 2¹ = 105233209 is a prime.

It is a super-2 number, since 2×105233211² = 22148057394741042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105233221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253980 + ... + 254393.

It is an arithmetic number, because the mean of its divisors is an integer number (13217724).

Almost surely, 2^105233211 is an apocalyptic number.

105233211 is a deficient number, since it is larger than the sum of its proper divisors (53379477).

105233211 is a wasteful number, since it uses less digits than its factorization.

105233211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508402 (or 508399 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105233211 is about 10258.3239859150. The cubic root of 105233211 is about 472.1184153603.

Adding to 105233211 its reverse (112332501), we get a palindrome (217565712).

The spelling of 105233211 in words is "one hundred five million, two hundred thirty-three thousand, two hundred eleven".