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105315215 = 5311973449
BaseRepresentation
bin1100100011011…
…11101110001111
321100011120022112
412101233232033
5203430041330
614241134235
72416110305
oct621575617
9240146275
10105315215
11544a1975
122b32a37b
1318a84bc5
14ddb6275
1593a4795
hex646fb8f

105315215 has 16 divisors (see below), whose sum is σ = 131155200. Its totient is φ = 81096960.

The previous prime is 105315191. The next prime is 105315227. The reversal of 105315215 is 512513501.

It is a happy number.

It is not a de Polignac number, because 105315215 - 220 = 104266639 is a prime.

It is a super-2 number, since 2×1053152152 = 22182589020992450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28811 + ... + 32259.

It is an arithmetic number, because the mean of its divisors is an integer number (8197200).

Almost surely, 2105315215 is an apocalyptic number.

105315215 is a deficient number, since it is larger than the sum of its proper divisors (25839985).

105315215 is a wasteful number, since it uses less digits than its factorization.

105315215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105315215 is about 10262.3201567677. The cubic root of 105315215 is about 472.2410178037.

Adding to 105315215 its reverse (512513501), we get a palindrome (617828716).

The spelling of 105315215 in words is "one hundred five million, three hundred fifteen thousand, two hundred fifteen".

Divisors: 1 5 31 155 197 985 3449 6107 17245 30535 106919 534595 679453 3397265 21063043 105315215