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106454558377 is a prime number
BaseRepresentation
bin110001100100100101…
…1111010011010101001
3101011210000000212210101
41203021023322122221
53221004331332002
6120523214345401
710456020546646
oct1431113723251
9334700025711
10106454558377
1141168906372
121876b4bb261
13a066b0cc5b
14521c396dcd
152b80c11587
hex18c92fa6a9

106454558377 has 2 divisors, whose sum is σ = 106454558378. Its totient is φ = 106454558376.

The previous prime is 106454558347. The next prime is 106454558401. The reversal of 106454558377 is 773855454601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106081141401 + 373416976 = 325701^2 + 19324^2 .

It is a cyclic number.

It is not a de Polignac number, because 106454558377 - 227 = 106320340649 is a prime.

It is a super-2 number, since 2×1064545583772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106454558347) 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, 53227279188 + 53227279189.

It is an arithmetic number, because the mean of its divisors is an integer number (53227279189).

Almost surely, 2106454558377 is an apocalyptic number.

It is an amenable number.

106454558377 is a deficient number, since it is larger than the sum of its proper divisors (1).

106454558377 is an equidigital number, since it uses as much as digits as its factorization.

106454558377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112000, while the sum is 55.

The spelling of 106454558377 in words is "one hundred six billion, four hundred fifty-four million, five hundred fifty-eight thousand, three hundred seventy-seven".