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105215513317 is a prime number
BaseRepresentation
bin110000111111101010…
…1010101001011100101
3101001120122112212111121
41201333111111023211
53210440132411232
6120200233333541
710413224051455
oct1417725251345
9331518485447
10105215513317
1140692461492
12184845672b1
139bca1c77b5
1451419c1d65
152b0c061d97
hex187f5552e5

105215513317 has 2 divisors, whose sum is σ = 105215513318. Its totient is φ = 105215513316.

The previous prime is 105215513311. The next prime is 105215513363. The reversal of 105215513317 is 713315512501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98476088481 + 6739424836 = 313809^2 + 82094^2 .

It is a cyclic number.

It is not a de Polignac number, because 105215513317 - 223 = 105207124709 is a prime.

It is a super-2 number, since 2×1052155133172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105215513311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52607756658 + 52607756659.

It is an arithmetic number, because the mean of its divisors is an integer number (52607756659).

Almost surely, 2105215513317 is an apocalyptic number.

It is an amenable number.

105215513317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105215513317 is an equidigital number, since it uses as much as digits as its factorization.

105215513317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15750, while the sum is 34.

The spelling of 105215513317 in words is "one hundred five billion, two hundred fifteen million, five hundred thirteen thousand, three hundred seventeen".