105121233 has 40 divisors (see below), whose sum is σ = 180303552. Its totient is φ = 59789664.

The previous prime is 105121231. The next prime is 105121249. The reversal of 105121233 is 332121501.

It is not a de Polignac number, because 105121233 - 2¹ = 105121231 is a prime.

It is a super-2 number, since 2×105121233² = 22100947254880578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105121231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224866 + ... + 225332.

Almost surely, 2^105121233 is an apocalyptic number.

It is an amenable number.

105121233 is a deficient number, since it is larger than the sum of its proper divisors (75182319).

105121233 is an equidigital number, since it uses as much as digits as its factorization.

105121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

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

The square root of 105121233 is about 10252.8646240941. The cubic root of 105121233 is about 471.9508965125.

Adding to 105121233 its reverse (332121501), we get a palindrome (437242734).

The spelling of 105121233 in words is "one hundred five million, one hundred twenty-one thousand, two hundred thirty-three".