105220233 has 24 divisors (see below), whose sum is σ = 160742400. Its totient is φ = 66140064.

The previous prime is 105220201. The next prime is 105220243. The reversal of 105220233 is 332022501.

It is not a de Polignac number, because 105220233 - 2⁵ = 105220201 is a prime.

It is a super-2 number, since 2×105220233² = 22142594865148578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105220243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37816 + ... + 40502.

It is an arithmetic number, because the mean of its divisors is an integer number (6697600).

Almost surely, 2^105220233 is an apocalyptic number.

It is an amenable number.

105220233 is a deficient number, since it is larger than the sum of its proper divisors (55522167).

105220233 is a wasteful number, since it uses less digits than its factorization.

105220233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105220233 is about 10257.6914069395. The cubic root of 105220233 is about 472.0990063904.

Adding to 105220233 its reverse (332022501), we get a palindrome (437242734).

The spelling of 105220233 in words is "one hundred five million, two hundred twenty thousand, two hundred thirty-three".