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106135261 is a prime number
BaseRepresentation
bin1100101001101…
…11111011011101
321101201020012121
412110313323131
5204132312021
614310502541
72426064151
oct624677335
9241636177
10106135261
1154a01aa1
122b664a51
1318cb123b
141014b061
1594b7741
hex6537edd

106135261 has 2 divisors, whose sum is σ = 106135262. Its totient is φ = 106135260.

The previous prime is 106135243. The next prime is 106135279. The reversal of 106135261 is 162531601.

It is a balanced prime because it is at equal distance from previous prime (106135243) and next prime (106135279).

It can be written as a sum of positive squares in only one way, i.e., 75951225 + 30184036 = 8715^2 + 5494^2 .

It is an emirp because it is prime and its reverse (162531601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106135261 - 25 = 106135229 is a prime.

It is a super-2 number, since 2×1061352612 = 22529387255076242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106135201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53067630 + 53067631.

It is an arithmetic number, because the mean of its divisors is an integer number (53067631).

Almost surely, 2106135261 is an apocalyptic number.

It is an amenable number.

106135261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106135261 is an equidigital number, since it uses as much as digits as its factorization.

106135261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106135261 is about 10302.1969016322. The cubic root of 106135261 is about 473.4635652472.

Adding to 106135261 its reverse (162531601), we get a palindrome (268666862).

The spelling of 106135261 in words is "one hundred six million, one hundred thirty-five thousand, two hundred sixty-one".