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106541 is a prime number
BaseRepresentation
bin11010000000101101
312102010222
4122000231
511402131
62141125
7622421
oct320055
9172128
10106541
1173056
12517a5
1339656
142ab81
152187b
hex1a02d

106541 has 2 divisors, whose sum is σ = 106542. Its totient is φ = 106540.

The previous prime is 106537. The next prime is 106543. The reversal of 106541 is 145601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 42025 = 254^2 + 205^2 .

It is an emirp because it is prime and its reverse (145601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106541 - 22 = 106537 is a prime.

It is a super-2 number, since 2×1065412 = 22701969362, which contains 22 as substring.

Together with 106543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53270 + 53271.

It is an arithmetic number, because the mean of its divisors is an integer number (53271).

2106541 is an apocalyptic number.

It is an amenable number.

106541 is a deficient number, since it is larger than the sum of its proper divisors (1).

106541 is an equidigital number, since it uses as much as digits as its factorization.

106541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 106541 is about 326.4061886668. The cubic root of 106541 is about 47.4066124526.

Subtracting 106541 from its reverse (145601), we obtain a triangular number (39060 = T279).

The spelling of 106541 in words is "one hundred six thousand, five hundred forty-one".