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105216109 is a prime number
BaseRepresentation
bin1100100010101…
…11100001101101
321022222112100221
412101113201231
5203413403414
614235051341
72415215335
oct621274155
9238875327
10105216109
1154434469
122b2a0b51
1318a4ba6b
14dd8c0c5
159385224
hex645786d

105216109 has 2 divisors, whose sum is σ = 105216110. Its totient is φ = 105216108.

The previous prime is 105216103. The next prime is 105216121. The reversal of 105216109 is 901612501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84695209 + 20520900 = 9203^2 + 4530^2 .

It is a cyclic number.

It is not a de Polignac number, because 105216109 - 23 = 105216101 is a prime.

It is a super-2 number, since 2×1052161092 = 22140859186199762, which contains 22 as substring.

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 (105216101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52608054 + 52608055.

It is an arithmetic number, because the mean of its divisors is an integer number (52608055).

Almost surely, 2105216109 is an apocalyptic number.

It is an amenable number.

105216109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105216109 is an equidigital number, since it uses as much as digits as its factorization.

105216109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 105216109 is about 10257.4903850796. The cubic root of 105216109 is about 472.0928384964.

It can be divided in two parts, 1052 and 16109, that added together give a square (17161 = 1312).

The spelling of 105216109 in words is "one hundred five million, two hundred sixteen thousand, one hundred nine".