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106553261 is a prime number
BaseRepresentation
bin1100101100111…
…01111110101101
321102111110121002
412112131332231
5204234201021
614323450045
72432454623
oct626357655
9242443532
10106553261
1155168051
122b826925
13190c9589
1410219513
15954b50b
hex659dfad

106553261 has 2 divisors, whose sum is σ = 106553262. Its totient is φ = 106553260.

The previous prime is 106553171. The next prime is 106553287. The reversal of 106553261 is 162355601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101404900 + 5148361 = 10070^2 + 2269^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106553261 is a prime.

It is a super-2 number, since 2×1065532612 = 22707194859468242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106553561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53276630 + 53276631.

It is an arithmetic number, because the mean of its divisors is an integer number (53276631).

Almost surely, 2106553261 is an apocalyptic number.

It is an amenable number.

106553261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106553261 is an equidigital number, since it uses as much as digits as its factorization.

106553261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 106553261 is about 10322.4639016080. The cubic root of 106553261 is about 474.0843093933.

The spelling of 106553261 in words is "one hundred six million, five hundred fifty-three thousand, two hundred sixty-one".