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106384957649 is a prime number
BaseRepresentation
bin110001100010100001…
…0011010000011010001
3101011121011001210112122
41203011002122003101
53220334022121044
6120512250504025
710454214135245
oct1430502320321
9334534053478
10106384957649
1141132598303
1218750135015
13a0555810a9
14521303a425
152b79a63dee
hex18c509a0d1

106384957649 has 2 divisors, whose sum is σ = 106384957650. Its totient is φ = 106384957648.

The previous prime is 106384957619. The next prime is 106384957661. The reversal of 106384957649 is 946759483601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77544427024 + 28840530625 = 278468^2 + 169825^2 .

It is a cyclic number.

It is not a de Polignac number, because 106384957649 - 216 = 106384892113 is a prime.

It is a super-2 number, since 2×1063849576492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106384957591 and 106384957600.

It is not a weakly prime, because it can be changed into another prime (106384957619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53192478824 + 53192478825.

It is an arithmetic number, because the mean of its divisors is an integer number (53192478825).

Almost surely, 2106384957649 is an apocalyptic number.

It is an amenable number.

106384957649 is a deficient number, since it is larger than the sum of its proper divisors (1).

106384957649 is an equidigital number, since it uses as much as digits as its factorization.

106384957649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 106384957649 in words is "one hundred six billion, three hundred eighty-four million, nine hundred fifty-seven thousand, six hundred forty-nine".