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106265597 is a prime number
BaseRepresentation
bin1100101010101…
…11101111111101
321101221211222212
412111113233331
5204200444342
614313350205
72430146144
oct625275775
9241854885
10106265597
1154a90a09
122b708365
1319028669
141018275b
1594e1182
hex6557bfd

106265597 has 2 divisors, whose sum is σ = 106265598. Its totient is φ = 106265596.

The previous prime is 106265569. The next prime is 106265611. The reversal of 106265597 is 795562601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60310756 + 45954841 = 7766^2 + 6779^2 .

It is a cyclic number.

It is not a de Polignac number, because 106265597 - 218 = 106003453 is a prime.

It is a super-2 number, since 2×1062655972 = 22584754211532818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106265567) 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 as a sum of consecutive naturals, namely, 53132798 + 53132799.

It is an arithmetic number, because the mean of its divisors is an integer number (53132799).

Almost surely, 2106265597 is an apocalyptic number.

It is an amenable number.

106265597 is a deficient number, since it is larger than the sum of its proper divisors (1).

106265597 is an equidigital number, since it uses as much as digits as its factorization.

106265597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 106265597 is about 10308.5206019099. The cubic root of 106265597 is about 473.6572932123.

The spelling of 106265597 in words is "one hundred six million, two hundred sixty-five thousand, five hundred ninety-seven".