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106003537 is a prime number
BaseRepresentation
bin1100101000101…
…11110001010001
321101110112111221
412110113301101
5204114103122
614304005041
72425005133
oct624276121
9241415457
10106003537
1154922032
122b600781
1318c662b3
1410115053
15948d6c7
hex6517c51

106003537 has 2 divisors, whose sum is σ = 106003538. Its totient is φ = 106003536.

The previous prime is 106003531. The next prime is 106003549. The reversal of 106003537 is 735300601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96510976 + 9492561 = 9824^2 + 3081^2 .

It is a cyclic number.

It is not a de Polignac number, because 106003537 - 23 = 106003529 is a prime.

It is a super-2 number, since 2×1060035372 = 22473499713020738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106003531) 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, 53001768 + 53001769.

It is an arithmetic number, because the mean of its divisors is an integer number (53001769).

Almost surely, 2106003537 is an apocalyptic number.

It is an amenable number.

106003537 is a deficient number, since it is larger than the sum of its proper divisors (1).

106003537 is an equidigital number, since it uses as much as digits as its factorization.

106003537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 106003537 is about 10295.8019114589. The cubic root of 106003537 is about 473.2676129852.

The spelling of 106003537 in words is "one hundred six million, three thousand, five hundred thirty-seven".