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106101156461 is a prime number
BaseRepresentation
bin110001011010000011…
…1110010101001101101
3101010212101001012111112
41202310013302221231
53214243344001321
6120424152001405
710444166643446
oct1426407625155
9333771035445
10106101156461
1140aa7378273
1218691090265
13a00b8354b1
1451c74822cd
152b5eba4a5b
hex18b41f2a6d

106101156461 has 2 divisors, whose sum is σ = 106101156462. Its totient is φ = 106101156460.

The previous prime is 106101156439. The next prime is 106101156527. The reversal of 106101156461 is 164651101601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66702876361 + 39398280100 = 258269^2 + 198490^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101156461 - 222 = 106096962157 is a prime.

It is a super-2 number, since 2×1061011564612 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106101156361) 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, 53050578230 + 53050578231.

It is an arithmetic number, because the mean of its divisors is an integer number (53050578231).

Almost surely, 2106101156461 is an apocalyptic number.

It is an amenable number.

106101156461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101156461 is an equidigital number, since it uses as much as digits as its factorization.

106101156461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 106101156461 in words is "one hundred six billion, one hundred one million, one hundred fifty-six thousand, four hundred sixty-one".