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106297263 = 3237319211
BaseRepresentation
bin1100101010111…
…11011110101111
321102000110102200
412111133132233
5204203003023
614314152543
72430340362
oct625373657
9242013380
10106297263
1155002786
122b722753
1319039bb7
14101900d9
1594ea743
hex655f7af

106297263 has 12 divisors (see below), whose sum is σ = 157690728. Its totient is φ = 68949360.

The previous prime is 106297253. The next prime is 106297273. The reversal of 106297263 is 362792601.

106297263 is a `hidden beast` number, since 1 + 0 + 629 + 7 + 26 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (106297253) and next prime (106297273).

It is not a de Polignac number, because 106297263 - 25 = 106297231 is a prime.

It is a super-2 number, since 2×1062972632 = 22598216242582338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106297223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159273 + ... + 159938.

It is an arithmetic number, because the mean of its divisors is an integer number (13140894).

Almost surely, 2106297263 is an apocalyptic number.

106297263 is a deficient number, since it is larger than the sum of its proper divisors (51393465).

106297263 is a wasteful number, since it uses less digits than its factorization.

106297263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319254 (or 319251 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106297263 is about 10310.0564013976. The cubic root of 106297263 is about 473.7043367920.

The spelling of 106297263 in words is "one hundred six million, two hundred ninety-seven thousand, two hundred sixty-three".

Divisors: 1 3 9 37 111 333 319211 957633 2872899 11810807 35432421 106297263