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106102573 is a prime number
BaseRepresentation
bin1100101001011…
…11111100101101
321101122120100221
412110233330231
5204130240243
614310051341
72425566643
oct624577455
9241576327
10106102573
115498a485
122b649b51
1318c9c3b5
141013d193
1594acbed
hex652ff2d

106102573 has 2 divisors, whose sum is σ = 106102574. Its totient is φ = 106102572.

The previous prime is 106102571. The next prime is 106102583. The reversal of 106102573 is 375201601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102050404 + 4052169 = 10102^2 + 2013^2 .

It is a cyclic number.

It is not a de Polignac number, because 106102573 - 21 = 106102571 is a prime.

It is a super-2 number, since 2×1061025732 = 22515511994440658, which contains 22 as substring.

Together with 106102571, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106102571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53051286 + 53051287.

It is an arithmetic number, because the mean of its divisors is an integer number (53051287).

Almost surely, 2106102573 is an apocalyptic number.

It is an amenable number.

106102573 is a deficient number, since it is larger than the sum of its proper divisors (1).

106102573 is an equidigital number, since it uses as much as digits as its factorization.

106102573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 106102573 is about 10300.6103217237. The cubic root of 106102573 is about 473.4149537993.

The spelling of 106102573 in words is "one hundred six million, one hundred two thousand, five hundred seventy-three".