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105061661 is a prime number
BaseRepresentation
bin1100100001100…
…01110100011101
321022200200111122
412100301310131
5203343433121
614231500325
72414003135
oct620616435
9238620448
10105061661
1154339421
122b2276a5
13189c6683
14dd4bac5
1593545ab
hex6431d1d

105061661 has 2 divisors, whose sum is σ = 105061662. Its totient is φ = 105061660.

The previous prime is 105061643. The next prime is 105061679. The reversal of 105061661 is 166160501.

It is a balanced prime because it is at equal distance from previous prime (105061643) and next prime (105061679).

It can be written as a sum of positive squares in only one way, i.e., 86304100 + 18757561 = 9290^2 + 4331^2 .

It is a cyclic number.

It is not a de Polignac number, because 105061661 - 26 = 105061597 is a prime.

It is a super-2 number, since 2×1050616612 = 22075905224157842, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105061661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105061261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530830 + 52530831.

It is an arithmetic number, because the mean of its divisors is an integer number (52530831).

Almost surely, 2105061661 is an apocalyptic number.

It is an amenable number.

105061661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105061661 is an equidigital number, since it uses as much as digits as its factorization.

105061661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105061661 is about 10249.9590730890. The cubic root of 105061661 is about 471.8617284457.

It can be divided in two parts, 10506 and 1661, that added together give a cube (12167 = 233).

The spelling of 105061661 in words is "one hundred five million, sixty-one thousand, six hundred sixty-one".