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104137541 is a prime number
BaseRepresentation
bin1100011010100…
…00001101000101
321020221201211222
412031100031011
5203124400131
614200010125
72403103664
oct615201505
9236851758
10104137541
1153868092
122aa60945
1318761b61
14db8addb
15922087b
hex6350345

104137541 has 2 divisors, whose sum is σ = 104137542. Its totient is φ = 104137540.

The previous prime is 104137513. The next prime is 104137567. The reversal of 104137541 is 145731401.

It is an a-pointer prime, because the next prime (104137567) can be obtained adding 104137541 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78836641 + 25300900 = 8879^2 + 5030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104137541 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104137541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104137591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52068770 + 52068771.

It is an arithmetic number, because the mean of its divisors is an integer number (52068771).

Almost surely, 2104137541 is an apocalyptic number.

It is an amenable number.

104137541 is a deficient number, since it is larger than the sum of its proper divisors (1).

104137541 is an equidigital number, since it uses as much as digits as its factorization.

104137541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 104137541 is about 10204.7803014078. The cubic root of 104137541 is about 470.4741570699.

Adding to 104137541 its reverse (145731401), we get a palindrome (249868942).

The spelling of 104137541 in words is "one hundred four million, one hundred thirty-seven thousand, five hundred forty-one".