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106460418781 is a prime number
BaseRepresentation
bin110001100100110001…
…0010001001011011101
3101011210102001121202101
41203021202101023131
53221012331400111
6120523544125101
710456121425453
oct1431142211335
9334712047671
10106460418781
1141171149382
1218771466791
13a0680b2552
14521d0809d3
152b814bcbc1
hex18c98912dd

106460418781 has 2 divisors, whose sum is σ = 106460418782. Its totient is φ = 106460418780.

The previous prime is 106460418737. The next prime is 106460418811. The reversal of 106460418781 is 187814064601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95645458756 + 10814960025 = 309266^2 + 103995^2 .

It is a cyclic number.

It is not a de Polignac number, because 106460418781 - 27 = 106460418653 is a prime.

It is a super-2 number, since 2×1064604187812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106460418721) 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, 53230209390 + 53230209391.

It is an arithmetic number, because the mean of its divisors is an integer number (53230209391).

Almost surely, 2106460418781 is an apocalyptic number.

It is an amenable number.

106460418781 is a deficient number, since it is larger than the sum of its proper divisors (1).

106460418781 is an equidigital number, since it uses as much as digits as its factorization.

106460418781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 106460418781 in words is "one hundred six billion, four hundred sixty million, four hundred eighteen thousand, seven hundred eighty-one".