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106419457 is a prime number
BaseRepresentation
bin1100101011111…
…01010100000001
321102020200001101
412111331110001
5204220410312
614320534401
72431356544
oct625752401
9242220041
10106419457
1155086571
122b781401
13190806c1
14101c285b
159521a57
hex657d501

106419457 has 2 divisors, whose sum is σ = 106419458. Its totient is φ = 106419456.

The previous prime is 106419451. The next prime is 106419463. The reversal of 106419457 is 754914601.

It is a balanced prime because it is at equal distance from previous prime (106419451) and next prime (106419463).

It can be written as a sum of positive squares in only one way, i.e., 97634161 + 8785296 = 9881^2 + 2964^2 .

It is a cyclic number.

It is not a de Polignac number, because 106419457 - 23 = 106419449 is a prime.

It is a super-2 number, since 2×1064194572 = 22650201656349698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106419451) 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, 53209728 + 53209729.

It is an arithmetic number, because the mean of its divisors is an integer number (53209729).

Almost surely, 2106419457 is an apocalyptic number.

It is an amenable number.

106419457 is a deficient number, since it is larger than the sum of its proper divisors (1).

106419457 is an equidigital number, since it uses as much as digits as its factorization.

106419457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 106419457 is about 10315.9806610908. The cubic root of 106419457 is about 473.8857828617.

The spelling of 106419457 in words is "one hundred six million, four hundred nineteen thousand, four hundred fifty-seven".