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104953 is a prime number
BaseRepresentation
bin11001100111111001
312022222011
4121213321
511324303
62125521
7614662
oct314771
9168864
10104953
1171942
12508a1
1338a04
142a369
152116d
hex199f9

104953 has 2 divisors, whose sum is σ = 104954. Its totient is φ = 104952.

The previous prime is 104947. The next prime is 104959. The reversal of 104953 is 359401.

It is a balanced prime because it is at equal distance from previous prime (104947) and next prime (104959).

It can be written as a sum of positive squares in only one way, i.e., 76729 + 28224 = 277^2 + 168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104953 is a prime.

It is a super-2 number, since 2×1049532 = 22030264418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104959) 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, 52476 + 52477.

It is an arithmetic number, because the mean of its divisors is an integer number (52477).

2104953 is an apocalyptic number.

It is an amenable number.

104953 is a deficient number, since it is larger than the sum of its proper divisors (1).

104953 is an equidigital number, since it uses as much as digits as its factorization.

104953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 104953 is about 323.9645042285. The cubic root of 104953 is about 47.1698996537.

The spelling of 104953 in words is "one hundred four thousand, nine hundred fifty-three".