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106942987121 is a prime number
BaseRepresentation
bin110001110011001001…
…1000111101101110001
3101020001001002122001212
41203212103013231301
53223004401041441
6121043503205505
710504101251315
oct1434623075561
9336031078055
10106942987121
114139958a093
1218886ba6895
13a114073249
1452671b9b45
152bada40eeb
hex18e64c7b71

106942987121 has 2 divisors, whose sum is σ = 106942987122. Its totient is φ = 106942987120.

The previous prime is 106942987117. The next prime is 106942987127. The reversal of 106942987121 is 121789249601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106382954896 + 560032225 = 326164^2 + 23665^2 .

It is a cyclic number.

It is not a de Polignac number, because 106942987121 - 22 = 106942987117 is a prime.

It is a super-2 number, since 2×1069429871212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106942987121.

It is not a weakly prime, because it can be changed into another prime (106942987127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53471493560 + 53471493561.

It is an arithmetic number, because the mean of its divisors is an integer number (53471493561).

Almost surely, 2106942987121 is an apocalyptic number.

It is an amenable number.

106942987121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106942987121 is an equidigital number, since it uses as much as digits as its factorization.

106942987121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 106942987121 in words is "one hundred six billion, nine hundred forty-two million, nine hundred eighty-seven thousand, one hundred twenty-one".