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106816319 is a prime number
BaseRepresentation
bin1100101110111…
…10001100111111
321102222211102222
412113132030333
5204321110234
614333235555
72434631561
oct627361477
9242884388
10106816319
1155327755
122b932bbb
131918c22c
1410287331
15959e42e
hex65de33f

106816319 has 2 divisors, whose sum is σ = 106816320. Its totient is φ = 106816318.

The previous prime is 106816273. The next prime is 106816327. The reversal of 106816319 is 913618601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106816319 is a prime.

It is a super-2 number, since 2×1068163192 = 22819452009419522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106816349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53408159 + 53408160.

It is an arithmetic number, because the mean of its divisors is an integer number (53408160).

Almost surely, 2106816319 is an apocalyptic number.

106816319 is a deficient number, since it is larger than the sum of its proper divisors (1).

106816319 is an equidigital number, since it uses as much as digits as its factorization.

106816319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 106816319 is about 10335.1980629304. The cubic root of 106816319 is about 474.4741275321.

The spelling of 106816319 in words is "one hundred six million, eight hundred sixteen thousand, three hundred nineteen".