105112031 has 2 divisors, whose sum is σ = 105112032. Its totient is φ = 105112030.

The previous prime is 105111997. The next prime is 105112087. The reversal of 105112031 is 130211501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105112031 - 2¹⁴ = 105095647 is a prime.

It is a super-2 number, since 2×105112031² = 22097078121889922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105111997 and 105112015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105112531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556015 + 52556016.

It is an arithmetic number, because the mean of its divisors is an integer number (52556016).

Almost surely, 2^105112031 is an apocalyptic number.

105112031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105112031 is an equidigital number, since it uses as much as digits as its factorization.

105112031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 105112031 is about 10252.4158616396. The cubic root of 105112031 is about 471.9371250515.

Adding to 105112031 its reverse (130211501), we get a palindrome (235323532).

The spelling of 105112031 in words is "one hundred five million, one hundred twelve thousand, thirty-one".