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106415357 is a prime number
BaseRepresentation
bin1100101011111…
…00010011111101
321102020110102112
412111330103331
5204220242412
614320503405
72431341566
oct625742375
9242213375
10106415357
1155083484
122b77ab65
131907b889
14101c116d
159520722
hex657c4fd

106415357 has 2 divisors, whose sum is σ = 106415358. Its totient is φ = 106415356.

The previous prime is 106415347. The next prime is 106415369. The reversal of 106415357 is 753514601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106275481 + 139876 = 10309^2 + 374^2 .

It is a cyclic number.

It is not a de Polignac number, because 106415357 - 24 = 106415341 is a prime.

It is a super-2 number, since 2×1064153572 = 22648456410874898, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106415347) 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, 53207678 + 53207679.

It is an arithmetic number, because the mean of its divisors is an integer number (53207679).

Almost surely, 2106415357 is an apocalyptic number.

It is an amenable number.

106415357 is a deficient number, since it is larger than the sum of its proper divisors (1).

106415357 is an equidigital number, since it uses as much as digits as its factorization.

106415357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 106415357 is about 10315.7819383700. The cubic root of 106415357 is about 473.8796970176.

Adding to 106415357 its reverse (753514601), we get a palindrome (859929958).

The spelling of 106415357 in words is "one hundred six million, four hundred fifteen thousand, three hundred fifty-seven".