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106016121461 is a prime number
BaseRepresentation
bin110001010111100001…
…1011010001001110101
3101010122110000222102002
41202233003122021311
53214110111341321
6120411513225045
710442115110135
oct1425703321165
9333573028362
10106016121461
1140a63378208
1218668702185
139cc7031423
1451ba068ac5
152b574a920b
hex18af0da275

106016121461 has 2 divisors, whose sum is σ = 106016121462. Its totient is φ = 106016121460.

The previous prime is 106016121443. The next prime is 106016121467. The reversal of 106016121461 is 164121610601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68071419025 + 37944702436 = 260905^2 + 194794^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106016121461 is a prime.

It is a super-2 number, since 2×1060161214612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106016121467) 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, 53008060730 + 53008060731.

It is an arithmetic number, because the mean of its divisors is an integer number (53008060731).

Almost surely, 2106016121461 is an apocalyptic number.

It is an amenable number.

106016121461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106016121461 is an equidigital number, since it uses as much as digits as its factorization.

106016121461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 106016121461 in words is "one hundred six billion, sixteen million, one hundred twenty-one thousand, four hundred sixty-one".