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106624375049 is a prime number
BaseRepresentation
bin110001101001101001…
…1101101100100001001
3101012012211120110110202
41203103103231210021
53221331320000144
6120552122221545
710463152143203
oct1432323554411
9335184513422
10106624375049
1141245753125
12187b83548b5
13a0930599aa
145236b5d773
152b90aa764e
hex18d34ed909

106624375049 has 2 divisors, whose sum is σ = 106624375050. Its totient is φ = 106624375048.

The previous prime is 106624375027. The next prime is 106624375051. The reversal of 106624375049 is 940573426601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98262187024 + 8362188025 = 313468^2 + 91445^2 .

It is an emirp because it is prime and its reverse (940573426601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106624375049 is a prime.

It is a super-2 number, since 2×1066243750492 (a number of 23 digits) contains 22 as substring.

Together with 106624375051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106624374994 and 106624375012.

It is not a weakly prime, because it can be changed into another prime (106624275049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53312187524 + 53312187525.

It is an arithmetic number, because the mean of its divisors is an integer number (53312187525).

Almost surely, 2106624375049 is an apocalyptic number.

It is an amenable number.

106624375049 is a deficient number, since it is larger than the sum of its proper divisors (1).

106624375049 is an equidigital number, since it uses as much as digits as its factorization.

106624375049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 106624375049 in words is "one hundred six billion, six hundred twenty-four million, three hundred seventy-five thousand, forty-nine".