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106492513 is a prime number
BaseRepresentation
bin1100101100011…
…11001001100001
321102101101021011
412112033021201
5204230230023
614322300521
72432112541
oct626171141
9242341234
10106492513
1155126446
122b7b7741
13190a7a2a
1410201321
15953850d
hex658f261

106492513 has 2 divisors, whose sum is σ = 106492514. Its totient is φ = 106492512.

The previous prime is 106492501. The next prime is 106492531. The reversal of 106492513 is 315294601.

Together with next prime (106492531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65173329 + 41319184 = 8073^2 + 6428^2 .

It is a cyclic number.

It is not a de Polignac number, because 106492513 - 217 = 106361441 is a prime.

It is a super-2 number, since 2×1064925132 = 22681310650110338, which contains 22 as substring.

It is equal to p6113398 and since 106492513 and 6113398 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106492543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53246256 + 53246257.

It is an arithmetic number, because the mean of its divisors is an integer number (53246257).

Almost surely, 2106492513 is an apocalyptic number.

It is an amenable number.

106492513 is a deficient number, since it is larger than the sum of its proper divisors (1).

106492513 is an equidigital number, since it uses as much as digits as its factorization.

106492513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106492513 is about 10319.5209675643. The cubic root of 106492513 is about 473.9941974994.

The spelling of 106492513 in words is "one hundred six million, four hundred ninety-two thousand, five hundred thirteen".