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106031 is a prime number
BaseRepresentation
bin11001111000101111
312101110002
4121320233
511343111
62134515
7621062
oct317057
9171402
10106031
1172732
125143b
1339353
142a8d9
152163b
hex19e2f

106031 has 2 divisors, whose sum is σ = 106032. Its totient is φ = 106030.

The previous prime is 106019. The next prime is 106033. The reversal of 106031 is 130601.

Adding to 106031 its reverse (130601), we get a palindrome (236632).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106031 - 26 = 105967 is a prime.

It is a super-2 number, since 2×1060312 = 22485145922, which contains 22 as substring.

Together with 106033, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 106031 parts by 460 straight cuts.

It is equal to p10109 and since 106031 and 10109 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106031.

It is not a weakly prime, because it can be changed into another prime (106033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53015 + 53016.

It is an arithmetic number, because the mean of its divisors is an integer number (53016).

2106031 is an apocalyptic number.

106031 is a deficient number, since it is larger than the sum of its proper divisors (1).

106031 is an equidigital number, since it uses as much as digits as its factorization.

106031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 106031 is about 325.6240163133. The cubic root of 106031 is about 47.3308480257.

The spelling of 106031 in words is "one hundred six thousand, thirty-one".