Search a number
-
+
104737729 is a prime number
BaseRepresentation
bin1100011111000…
…10101111000001
321022002020011011
412033202233001
5203303101404
614220520521
72411153545
oct617425701
9238066134
10104737729
1154138008
122b0b0141
13189120b5
14dca5a25
1592dd604
hex63e2bc1

104737729 has 2 divisors, whose sum is σ = 104737730. Its totient is φ = 104737728.

The previous prime is 104737727. The next prime is 104737771. The reversal of 104737729 is 927737401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103571329 + 1166400 = 10177^2 + 1080^2 .

It is a cyclic number.

It is not a de Polignac number, because 104737729 - 21 = 104737727 is a prime.

Together with 104737727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 104737691 and 104737700.

It is not a weakly prime, because it can be changed into another prime (104737727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52368864 + 52368865.

It is an arithmetic number, because the mean of its divisors is an integer number (52368865).

Almost surely, 2104737729 is an apocalyptic number.

It is an amenable number.

104737729 is a deficient number, since it is larger than the sum of its proper divisors (1).

104737729 is an equidigital number, since it uses as much as digits as its factorization.

104737729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 104737729 is about 10234.1452500929. The cubic root of 104737729 is about 471.3762723346.

The spelling of 104737729 in words is "one hundred four million, seven hundred thirty-seven thousand, seven hundred twenty-nine".