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105636149 is a prime number
BaseRepresentation
bin1100100101111…
…10000100110101
321100202212112222
412102332010311
5204020324044
614252052125
72421615053
oct622760465
9240685488
10105636149
11546a1003
122b464045
1318b67cc8
141005b1d3
1594198ee
hex64be135

105636149 has 2 divisors, whose sum is σ = 105636150. Its totient is φ = 105636148.

The previous prime is 105636133. The next prime is 105636197. The reversal of 105636149 is 941636501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101404900 + 4231249 = 10070^2 + 2057^2 .

It is a cyclic number.

It is not a de Polignac number, because 105636149 - 24 = 105636133 is a prime.

It is a super-2 number, since 2×1056361492 = 22317991951100402, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105636449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52818074 + 52818075.

It is an arithmetic number, because the mean of its divisors is an integer number (52818075).

Almost surely, 2105636149 is an apocalyptic number.

It is an amenable number.

105636149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105636149 is an equidigital number, since it uses as much as digits as its factorization.

105636149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 105636149 is about 10277.9447848293. The cubic root of 105636149 is about 472.7202284218.

The spelling of 105636149 in words is "one hundred five million, six hundred thirty-six thousand, one hundred forty-nine".