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106603181 is a prime number
BaseRepresentation
bin1100101101010…
…10001010101101
321102121000001222
412112222022231
5204242300211
614324513125
72433053306
oct626521255
9242530058
10106603181
11551a1603
122b84b7a5
1319116209
141022d7ad
15955b1db
hex65aa2ad

106603181 has 2 divisors, whose sum is σ = 106603182. Its totient is φ = 106603180.

The previous prime is 106603151. The next prime is 106603213. The reversal of 106603181 is 181306601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54257956 + 52345225 = 7366^2 + 7235^2 .

It is a cyclic number.

It is not a de Polignac number, because 106603181 - 26 = 106603117 is a prime.

It is a super-2 number, since 2×1066031812 = 22728476398637522, which contains 22 as substring.

It is equal to p6119432 and since 106603181 and 6119432 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106603181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106603121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53301590 + 53301591.

It is an arithmetic number, because the mean of its divisors is an integer number (53301591).

Almost surely, 2106603181 is an apocalyptic number.

It is an amenable number.

106603181 is a deficient number, since it is larger than the sum of its proper divisors (1).

106603181 is an equidigital number, since it uses as much as digits as its factorization.

106603181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106603181 is about 10324.8816458108. The cubic root of 106603181 is about 474.1583337000.

Adding to 106603181 its reverse (181306601), we get a palindrome (287909782).

The spelling of 106603181 in words is "one hundred six million, six hundred three thousand, one hundred eighty-one".