105031 has 2 divisors, whose sum is σ = 105032.
Its totient is φ = 105030.
The previous prime is 105023. The next prime is 105037. The reversal of 105031 is 130501.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 105031 - 23 = 105023 is a prime.
It is a super-2 number, since 2×1050312 = 22063021922, which contains 22 as substring.
It is equal to p10027 and since 105031 and 10027 have the same sum of digits, it is a Honaker prime.
It is a junction number, because it is equal to n+sod(n) for n = 104999 and 105017.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (105037) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52515 + 52516.
It is an arithmetic number, because the mean of its divisors is an integer number (52516).
2105031 is an apocalyptic number.
105031 is a deficient number, since it is larger than the sum of its proper divisors (1).
105031 is an equidigital number, since it uses as much as digits as its factorization.
105031 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 15, while the sum is 10.
The square root of 105031 is about 324.0848654288.
The cubic root of 105031 is about 47.1815821563.
Adding to 105031 its reverse (130501), we get a palindrome (235532).
It can be divided in two parts, 1050 and 31, that added together give a triangular number (1081 = T46).
The spelling of 105031 in words is "one hundred five thousand, thirty-one".