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105442697 is a prime number
BaseRepresentation
bin1100100100011…
…10110110001001
321100102001012002
412102032312021
5203443131242
614244000345
72420151053
oct622166611
9240361162
10105442697
1154579728
122b3900b5
1318acac39
141000a8d3
1593cc432
hex648ed89

105442697 has 2 divisors, whose sum is σ = 105442698. Its totient is φ = 105442696.

The previous prime is 105442691. The next prime is 105442703. The reversal of 105442697 is 796244501.

It is a balanced prime because it is at equal distance from previous prime (105442691) and next prime (105442703).

It can be written as a sum of positive squares in only one way, i.e., 75968656 + 29474041 = 8716^2 + 5429^2 .

It is a cyclic number.

It is not a de Polignac number, because 105442697 - 214 = 105426313 is a prime.

It is a super-2 number, since 2×1054426972 = 22236324701267618, 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 105442697.

It is not a weakly prime, because it can be changed into another prime (105442691) 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, 52721348 + 52721349.

It is an arithmetic number, because the mean of its divisors is an integer number (52721349).

Almost surely, 2105442697 is an apocalyptic number.

It is an amenable number.

105442697 is a deficient number, since it is larger than the sum of its proper divisors (1).

105442697 is an equidigital number, since it uses as much as digits as its factorization.

105442697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 105442697 is about 10268.5294468098. The cubic root of 105442697 is about 472.4314871313.

The spelling of 105442697 in words is "one hundred five million, four hundred forty-two thousand, six hundred ninety-seven".