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104585401 is a prime number
BaseRepresentation
bin1100011101111…
…01100010111001
321021210111012101
412032331202321
5203233213101
614213343401
72406650464
oct616754271
9237714171
10104585401
1154043618
122b037b61
131888a96b
14dc662db
1592ad401
hex63bd8b9

104585401 has 2 divisors, whose sum is σ = 104585402. Its totient is φ = 104585400.

The previous prime is 104585363. The next prime is 104585447.

104585401 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104530176 + 55225 = 10224^2 + 235^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 104585401 - 215 = 104552633 is a prime.

It is a super-2 number, since 2×1045854012 = 21876212204661602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104585401.

It is not a weakly prime, because it can be changed into another prime (104585461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52292700 + 52292701.

It is an arithmetic number, because the mean of its divisors is an integer number (52292701).

Almost surely, 2104585401 is an apocalyptic number.

It is an amenable number.

104585401 is a deficient number, since it is larger than the sum of its proper divisors (1).

104585401 is an equidigital number, since it uses as much as digits as its factorization.

104585401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 104585401 is about 10226.7003965111. The cubic root of 104585401 is about 471.1476420739.

The spelling of 104585401 in words is "one hundred four million, five hundred eighty-five thousand, four hundred one".