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2105106937 is a prime number
BaseRepresentation
bin111110101111001…
…0110000111111001
312102201010111211121
41331132112013321
513302401410222
6544515425241
7103111054003
oct17536260771
95381114747
102105106937
11990306aaa
124a8bb5221
1327718850b
1415d819373
15c4c255c7
hex7d7961f9

2105106937 has 2 divisors, whose sum is σ = 2105106938. Its totient is φ = 2105106936.

The previous prime is 2105106907. The next prime is 2105106959. The reversal of 2105106937 is 7396015012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1106294121 + 998812816 = 33261^2 + 31604^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2105106937 is a prime.

It is a super-3 number, since 3×21051069373 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2105106907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052553468 + 1052553469.

It is an arithmetic number, because the mean of its divisors is an integer number (1052553469).

Almost surely, 22105106937 is an apocalyptic number.

It is an amenable number.

2105106937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105106937 is an equidigital number, since it uses as much as digits as its factorization.

2105106937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 2105106937 is about 45881.4443647974. Note that the first 3 decimals coincide. The cubic root of 2105106937 is about 1281.6163940216.

The spelling of 2105106937 in words is "two billion, one hundred five million, one hundred six thousand, nine hundred thirty-seven".