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106361468897 is a prime number
BaseRepresentation
bin110001100001110100…
…0110011011111100001
3101011112111212110000212
41203003220303133201
53220312014001042
6120510051223505
710453510366025
oct1430350633741
9334474773025
10106361468897
1141120304912
12187442a7b95
13a050748a18
14520dc84385
152b77974482
hex18c3a337e1

106361468897 has 2 divisors, whose sum is σ = 106361468898. Its totient is φ = 106361468896.

The previous prime is 106361468869. The next prime is 106361468959. The reversal of 106361468897 is 798864163601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98218933201 + 8142535696 = 313399^2 + 90236^2 .

It is a cyclic number.

It is not a de Polignac number, because 106361468897 - 28 = 106361468641 is a prime.

It is a super-2 number, since 2×1063614688972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106361468597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53180734448 + 53180734449.

It is an arithmetic number, because the mean of its divisors is an integer number (53180734449).

Almost surely, 2106361468897 is an apocalyptic number.

It is an amenable number.

106361468897 is a deficient number, since it is larger than the sum of its proper divisors (1).

106361468897 is an equidigital number, since it uses as much as digits as its factorization.

106361468897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10450944, while the sum is 59.

The spelling of 106361468897 in words is "one hundred six billion, three hundred sixty-one million, four hundred sixty-eight thousand, eight hundred ninety-seven".