105105000331 has 2 divisors, whose sum is σ = 105105000332. Its totient is φ = 105105000330.

The previous prime is 105105000323. The next prime is 105105000359. The reversal of 105105000331 is 133000501501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105105000331 - 2³ = 105105000323 is a prime.

It is a super-2 number, since 2×105105000331² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105105000299 and 105105000308.

It is not a weakly prime, because it can be changed into another prime (105105000031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552500165 + 52552500166.

It is an arithmetic number, because the mean of its divisors is an integer number (52552500166).

Almost surely, 2^105105000331 is an apocalyptic number.

105105000331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105000331 is an equidigital number, since it uses as much as digits as its factorization.

105105000331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 19.

Adding to 105105000331 its reverse (133000501501), we get a palindrome (238105501832).

The spelling of 105105000331 in words is "one hundred five billion, one hundred five million, three hundred thirty-one", and thus it is an aban number.