Search a number
-
+
106100010521 is a prime number
BaseRepresentation
bin110001011010000001…
…1011010111000011001
3101010212021212222120022
41202310003122320121
53214243100314041
6120424111240225
710444154131511
oct1426403327031
9333767788508
10106100010521
1140aa676530a
1218690819075
13a00b523a1b
1451c7264841
152b5ea2a24b
hex18b40dae19

106100010521 has 2 divisors, whose sum is σ = 106100010522. Its totient is φ = 106100010520.

The previous prime is 106100010439. The next prime is 106100010553. The reversal of 106100010521 is 125010001601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104869754896 + 1230255625 = 323836^2 + 35075^2 .

It is a cyclic number.

It is not a de Polignac number, because 106100010521 - 222 = 106095816217 is a prime.

It is a super-2 number, since 2×1061000105212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106100010521.

It is not a weakly prime, because it can be changed into another prime (106100010571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050005260 + 53050005261.

It is an arithmetic number, because the mean of its divisors is an integer number (53050005261).

Almost surely, 2106100010521 is an apocalyptic number.

It is an amenable number.

106100010521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106100010521 is an equidigital number, since it uses as much as digits as its factorization.

106100010521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

The spelling of 106100010521 in words is "one hundred six billion, one hundred million, ten thousand, five hundred twenty-one".