Search a number
-
+
106276133 is a prime number
BaseRepresentation
bin1100101010110…
…10010100100101
321101222101110002
412111122110211
5204201314013
614313511045
72430221645
oct625322445
9241871402
10106276133
1154a98917
122b712485
13190303b2
1410186525
1594e4358
hex655a525

106276133 has 2 divisors, whose sum is σ = 106276134. Its totient is φ = 106276132.

The previous prime is 106276117. The next prime is 106276147. The reversal of 106276133 is 331672601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66308449 + 39967684 = 8143^2 + 6322^2 .

It is a cyclic number.

It is not a de Polignac number, because 106276133 - 24 = 106276117 is a prime.

It is a super-2 number, since 2×1062761332 = 22589232890867378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106276096 and 106276105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106270133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53138066 + 53138067.

It is an arithmetic number, because the mean of its divisors is an integer number (53138067).

Almost surely, 2106276133 is an apocalyptic number.

It is an amenable number.

106276133 is a deficient number, since it is larger than the sum of its proper divisors (1).

106276133 is an equidigital number, since it uses as much as digits as its factorization.

106276133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 106276133 is about 10309.0316228053. The cubic root of 106276133 is about 473.6729467209.

The spelling of 106276133 in words is "one hundred six million, two hundred seventy-six thousand, one hundred thirty-three".