105204331 has 4 divisors (see below), whose sum is σ = 105267600. Its totient is φ = 105141064.

The previous prime is 105204329. The next prime is 105204343. The reversal of 105204331 is 133402501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 133402501 = 37 ⋅3605473.

It is a cyclic number.

It is not a de Polignac number, because 105204331 - 2¹ = 105204329 is a prime.

It is a super-2 number, since 2×105204331² = 22135902522315122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105204299 and 105204308.

It is not an unprimeable number, because it can be changed into a prime (105204301) 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 3 ways as a sum of consecutive naturals, for example, 29071 + ... + 32488.

It is an arithmetic number, because the mean of its divisors is an integer number (26316900).

Almost surely, 2^105204331 is an apocalyptic number.

105204331 is a deficient number, since it is larger than the sum of its proper divisors (63269).

105204331 is an equidigital number, since it uses as much as digits as its factorization.

105204331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63268.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105204331 is about 10256.9162519736. The cubic root of 105204331 is about 472.0752223189.

Adding to 105204331 its reverse (133402501), we get a palindrome (238606832).

The spelling of 105204331 in words is "one hundred five million, two hundred four thousand, three hundred thirty-one".