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105136301 is a prime number
BaseRepresentation
bin1100100010001…
…00000010101101
321022211110220002
412101010002231
5203403330201
614233234045
72414433554
oct621040255
9238743802
10105136301
115438a506
122b262925
1318a2163a
14dd6ad9b
15936b76b
hex64440ad

105136301 has 2 divisors, whose sum is σ = 105136302. Its totient is φ = 105136300.

The previous prime is 105136271. The next prime is 105136307. The reversal of 105136301 is 103631501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63520900 + 41615401 = 7970^2 + 6451^2 .

It is an emirp because it is prime and its reverse (103631501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105136301 is a prime.

It is a super-2 number, since 2×1051363012 = 22107283575925202, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105136307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52568150 + 52568151.

It is an arithmetic number, because the mean of its divisors is an integer number (52568151).

Almost surely, 2105136301 is an apocalyptic number.

It is an amenable number.

105136301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105136301 is an equidigital number, since it uses as much as digits as its factorization.

105136301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 105136301 is about 10253.5994167902. The cubic root of 105136301 is about 471.9734451330.

Adding to 105136301 its reverse (103631501), we get a palindrome (208767802).

The spelling of 105136301 in words is "one hundred five million, one hundred thirty-six thousand, three hundred one".