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106157533 is a prime number
BaseRepresentation
bin1100101001111…
…01010111011101
321101202100202111
412110331113131
5204134020113
614311154021
72426216116
oct624752735
9241670674
10106157533
1154a177a9
122b675911
1318cbb411
141015520d
1594be13d
hex653d5dd

106157533 has 2 divisors, whose sum is σ = 106157534. Its totient is φ = 106157532.

The previous prime is 106157531. The next prime is 106157539. The reversal of 106157533 is 335751601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89075844 + 17081689 = 9438^2 + 4133^2 .

It is a cyclic number.

It is not a de Polignac number, because 106157533 - 21 = 106157531 is a prime.

It is a super-2 number, since 2×1061575332 = 22538843625292178, which contains 22 as substring.

Together with 106157531, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 106157495 and 106157504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106157531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53078766 + 53078767.

It is an arithmetic number, because the mean of its divisors is an integer number (53078767).

Almost surely, 2106157533 is an apocalyptic number.

It is an amenable number.

106157533 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157533 is an equidigital number, since it uses as much as digits as its factorization.

106157533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 106157533 is about 10303.2777794253. The cubic root of 106157533 is about 473.4966809869.

The spelling of 106157533 in words is "one hundred six million, one hundred fifty-seven thousand, five hundred thirty-three".