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106061665057 is a prime number
BaseRepresentation
bin110001011000111000…
…1001001001100100001
3101010202121201211110221
41202301301021030201
53214203241240212
6120420221323041
710443210164245
oct1426161111441
9333677654427
10106061665057
1140a87054847
121867ba06481
13a0035b92ba
1451c2122425
152b5b4a3807
hex18b1c49321

106061665057 has 2 divisors, whose sum is σ = 106061665058. Its totient is φ = 106061665056.

The previous prime is 106061665049. The next prime is 106061665103. The reversal of 106061665057 is 750566160601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99325195281 + 6736469776 = 315159^2 + 82076^2 .

It is an emirp because it is prime and its reverse (750566160601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106061665057 - 23 = 106061665049 is a prime.

It is a super-2 number, since 2×1060616650572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106061665027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53030832528 + 53030832529.

It is an arithmetic number, because the mean of its divisors is an integer number (53030832529).

Almost surely, 2106061665057 is an apocalyptic number.

It is an amenable number.

106061665057 is a deficient number, since it is larger than the sum of its proper divisors (1).

106061665057 is an equidigital number, since it uses as much as digits as its factorization.

106061665057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 106061665057 in words is "one hundred six billion, sixty-one million, six hundred sixty-five thousand, fifty-seven".