105330031 has 2 divisors, whose sum is σ = 105330032. Its totient is φ = 105330030.

The previous prime is 105330023. The next prime is 105330047. The reversal of 105330031 is 130033501.

It is an a-pointer prime, because the next prime (105330047) can be obtained adding 105330031 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105330031 - 2³ = 105330023 is a prime.

It is a super-2 number, since 2×105330031² = 22188830860921922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105329987 and 105330014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105330061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52665015 + 52665016.

It is an arithmetic number, because the mean of its divisors is an integer number (52665016).

Almost surely, 2^105330031 is an apocalyptic number.

105330031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105330031 is an equidigital number, since it uses as much as digits as its factorization.

105330031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 105330031 is about 10263.0419954320. The cubic root of 105330031 is about 472.2631621027.

Adding to 105330031 its reverse (130033501), we get a palindrome (235363532).

The spelling of 105330031 in words is "one hundred five million, three hundred thirty thousand, thirty-one".