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106460418737 is a prime number
BaseRepresentation
bin110001100100110001…
…0010001001010110001
3101011210102001121200202
41203021202101022301
53221012331344422
6120523544124545
710456121425361
oct1431142211261
9334712047622
10106460418737
1141171149342
1218771466755
13a0680b251a
14521d0809a1
152b814bcb92
hex18c98912b1

106460418737 has 2 divisors, whose sum is σ = 106460418738. Its totient is φ = 106460418736.

The previous prime is 106460418731. The next prime is 106460418781. The reversal of 106460418737 is 737814064601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89973601936 + 16486816801 = 299956^2 + 128401^2 .

It is an emirp because it is prime and its reverse (737814064601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106460418737 - 24 = 106460418721 is a prime.

It is a super-2 number, since 2×1064604187372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106460418691 and 106460418700.

It is not a weakly prime, because it can be changed into another prime (106460418731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53230209368 + 53230209369.

It is an arithmetic number, because the mean of its divisors is an integer number (53230209369).

Almost surely, 2106460418737 is an apocalyptic number.

It is an amenable number.

106460418737 is a deficient number, since it is larger than the sum of its proper divisors (1).

106460418737 is an equidigital number, since it uses as much as digits as its factorization.

106460418737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 106460418737 in words is "one hundred six billion, four hundred sixty million, four hundred eighteen thousand, seven hundred thirty-seven".