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106506053 is a prime number
BaseRepresentation
bin1100101100100…
…10011101000101
321102102001211122
412112102131011
5204231143203
614322443325
72432200163
oct626223505
9242361748
10106506053
1155135635
122b803545
13190b0c44
1410206233
15953c538
hex6592745

106506053 has 2 divisors, whose sum is σ = 106506054. Its totient is φ = 106506052.

The previous prime is 106505999. The next prime is 106506079. The reversal of 106506053 is 350605601.

It is an a-pointer prime, because the next prime (106506079) can be obtained adding 106506053 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82319329 + 24186724 = 9073^2 + 4918^2 .

It is a cyclic number.

It is not a de Polignac number, because 106506053 - 216 = 106440517 is a prime.

It is a super-2 number, since 2×1065060532 = 22687078651277618, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106506083) 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, 53253026 + 53253027.

It is an arithmetic number, because the mean of its divisors is an integer number (53253027).

Almost surely, 2106506053 is an apocalyptic number.

It is an amenable number.

106506053 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506053 is an equidigital number, since it uses as much as digits as its factorization.

106506053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 106506053 is about 10320.1769849165. The cubic root of 106506053 is about 474.0142853261.

The spelling of 106506053 in words is "one hundred six million, five hundred six thousand, fifty-three".