Search a number
-
+
106024033 is a prime number
BaseRepresentation
bin1100101000111…
…00110001100001
321101111120122001
412110130301201
5204120232113
614304244001
72425121653
oct624346141
9241446561
10106024033
1154936475
122b610601
1318c7271b
141011c6d3
1594947dd
hex651cc61

106024033 has 2 divisors, whose sum is σ = 106024034. Its totient is φ = 106024032.

The previous prime is 106024031. The next prime is 106024049. The reversal of 106024033 is 330420601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95707089 + 10316944 = 9783^2 + 3212^2 .

It is a cyclic number.

It is not a de Polignac number, because 106024033 - 21 = 106024031 is a prime.

It is a super-3 number, since 3×1060240333 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 106024031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 106024033.

It is not a weakly prime, because it can be changed into another prime (106024031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53012016 + 53012017.

It is an arithmetic number, because the mean of its divisors is an integer number (53012017).

Almost surely, 2106024033 is an apocalyptic number.

It is an amenable number.

106024033 is a deficient number, since it is larger than the sum of its proper divisors (1).

106024033 is an equidigital number, since it uses as much as digits as its factorization.

106024033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 106024033 is about 10296.7972204953. The cubic root of 106024033 is about 473.2981134388.

Adding to 106024033 its reverse (330420601), we get a palindrome (436444634).

The spelling of 106024033 in words is "one hundred six million, twenty-four thousand, thirty-three".