Base | Representation |
---|---|
bin | 1100100001010… |
… | …11111111011101 |
3 | 21022122110202111 |
4 | 12100223333131 |
5 | 203342202124 |
6 | 14231154021 |
7 | 2413543423 |
oct | 620537735 |
9 | 238573674 |
10 | 105037789 |
11 | 5432249a |
12 | 2b215911 |
13 | 189b884c |
14 | dd43113 |
15 | 934c494 |
hex | 642bfdd |
105037789 has 2 divisors, whose sum is σ = 105037790. Its totient is φ = 105037788.
The previous prime is 105037733. The next prime is 105037799. The reversal of 105037789 is 987730501.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 75116889 + 29920900 = 8667^2 + 5470^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-105037789 is a prime.
It is a super-2 number, since 2×1050377892 = 22065874236017042, which contains 22 as substring.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (105037799) by changing a digit.
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 as a sum of consecutive naturals, namely, 52518894 + 52518895.
It is an arithmetic number, because the mean of its divisors is an integer number (52518895).
Almost surely, 2105037789 is an apocalyptic number.
It is an amenable number.
105037789 is a deficient number, since it is larger than the sum of its proper divisors (1).
105037789 is an equidigital number, since it uses as much as digits as its factorization.
105037789 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 52920, while the sum is 40.
The square root of 105037789 is about 10248.7945144783. The cubic root of 105037789 is about 471.8259870968.
The spelling of 105037789 in words is "one hundred five million, thirty-seven thousand, seven hundred eighty-nine".
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