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103606541 is a prime number
BaseRepresentation
bin1100010110011…
…10100100001101
321012221202110022
412023032210031
5203010402131
614140351525
72365432613
oct613164415
9235852408
10103606541
1153535145
122a8455a5
131860725c
14da8d6b3
15916837b
hex62ce90d

103606541 has 2 divisors, whose sum is σ = 103606542. Its totient is φ = 103606540.

The previous prime is 103606519. The next prime is 103606543. The reversal of 103606541 is 145606301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69722500 + 33884041 = 8350^2 + 5821^2 .

It is an emirp because it is prime and its reverse (145606301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103606541 is a prime.

It is a super-3 number, since 3×1036065413 (a number of 25 digits) contains 333 as substring.

Together with 103606543, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103606541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103606543) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51803270 + 51803271.

It is an arithmetic number, because the mean of its divisors is an integer number (51803271).

Almost surely, 2103606541 is an apocalyptic number.

It is an amenable number.

103606541 is a deficient number, since it is larger than the sum of its proper divisors (1).

103606541 is an equidigital number, since it uses as much as digits as its factorization.

103606541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 103606541 is about 10178.7298323514. The cubic root of 103606541 is about 469.6731407799.

The spelling of 103606541 in words is "one hundred three million, six hundred six thousand, five hundred forty-one".