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104626161 = 341498669
BaseRepresentation
bin1100011110001…
…11011111110001
321021212120010000
412033013133301
5203241014121
614214300213
72410210353
oct617073761
9237776100
10104626161
1154071202
122b057669
13188a3393
14dc770d3
1592ba526
hex63c77f1

104626161 has 20 divisors (see below), whose sum is σ = 157360500. Its totient is φ = 69274656.

The previous prime is 104626153. The next prime is 104626169. The reversal of 104626161 is 161626401.

104626161 is a `hidden beast` number, since 1 + 0 + 46 + 2 + 616 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (104626153) and next prime (104626169).

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 77000625 = 5256^2 + 8775^2 .

It is not a de Polignac number, because 104626161 - 23 = 104626153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104626169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7735 + ... + 16403.

It is an arithmetic number, because the mean of its divisors is an integer number (7868025).

Almost surely, 2104626161 is an apocalyptic number.

It is an amenable number.

104626161 is a deficient number, since it is larger than the sum of its proper divisors (52734339).

104626161 is an equidigital number, since it uses as much as digits as its factorization.

104626161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104626161 is about 10228.6930250155. The cubic root of 104626161 is about 471.2088408118.

The spelling of 104626161 in words is "one hundred four million, six hundred twenty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 149 447 1341 4023 8669 12069 26007 78021 234063 702189 1291681 3875043 11625129 34875387 104626161