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105868141 is a prime number
BaseRepresentation
bin1100100111101…
…10101101101101
321101012122210021
412103312231231
5204100240031
614301042141
72423602321
oct623665555
9241178707
10105868141
115483a335
122b556351
1318c19792
14100bb981
159463511
hex64f6b6d

105868141 has 2 divisors, whose sum is σ = 105868142. Its totient is φ = 105868140.

The previous prime is 105868097. The next prime is 105868151. The reversal of 105868141 is 141868501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99082116 + 6786025 = 9954^2 + 2605^2 .

It is a cyclic number.

It is not a de Polignac number, because 105868141 - 211 = 105866093 is a prime.

It is a super-2 number, since 2×1058681412 = 22416126557591762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105868097 and 105868106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105868151) 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 as a sum of consecutive naturals, namely, 52934070 + 52934071.

It is an arithmetic number, because the mean of its divisors is an integer number (52934071).

Almost surely, 2105868141 is an apocalyptic number.

It is an amenable number.

105868141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105868141 is an equidigital number, since it uses as much as digits as its factorization.

105868141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 105868141 is about 10289.2245091649. The cubic root of 105868141 is about 473.0660290100.

The spelling of 105868141 in words is "one hundred five million, eight hundred sixty-eight thousand, one hundred forty-one".