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104149 is a prime number
BaseRepresentation
bin11001011011010101
312021212101
4121123111
511313044
62122101
7612433
oct313325
9167771
10104149
1171281
1250331
1338536
1429d53
1520cd4
hex196d5

104149 has 2 divisors, whose sum is σ = 104150. Its totient is φ = 104148.

The previous prime is 104147. The next prime is 104161. The reversal of 104149 is 941401.

104149 = T262 + T263 + T264.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 3025 = 318^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 104149 - 21 = 104147 is a prime.

Together with 104147, it forms a pair of twin primes.

104149 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52074 + 52075.

It is an arithmetic number, because the mean of its divisors is an integer number (52075).

2104149 is an apocalyptic number.

104149 is the 264-th centered triangular number.

It is an amenable number.

104149 is a deficient number, since it is larger than the sum of its proper divisors (1).

104149 is an equidigital number, since it uses as much as digits as its factorization.

104149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 104149 is about 322.7212419411. The cubic root of 104149 is about 47.0491412985.

It can be divided in two parts, 104 and 149, that added together give a triangular number (253 = T22).

The spelling of 104149 in words is "one hundred four thousand, one hundred forty-nine".