| Base | Representation |
|---|---|
| bin | 110001110000010000… |
| … | …0111110111111110001 |
| 3 | 101012210021112001022111 |
| 4 | 1203200200332333301 |
| 5 | 3222310031130004 |
| 6 | 121030115405321 |
| 7 | 10501512442051 |
| oct | 1434040767761 |
| 9 | 335707461274 |
| 10 | 106845958129 |
| 11 | 41349837839 |
| 12 | 1885a5b3841 |
| 13 | a0c9c2cb41 |
| 14 | 525835d561 |
| 15 | 2ba5276a04 |
| hex | 18e083eff1 |
106845958129 has 3 divisors (see below), whose sum is σ = 106846285003. Its totient is φ = 106845631256.
The previous prime is 106845958117. The next prime is 106845958133. The reversal of 106845958129 is 921859548601.
The square root of 106845958129 is 326873.
It is a perfect power (a square), and thus also a powerful number.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 921859548601 = 1061 ⋅868859141.
It can be written as a sum of positive squares in only one way, i.e., 74930850225 + 31915107904 = 273735^2 + 178648^2 .
It is not a de Polignac number, because 106845958129 - 211 = 106845956081 is a prime.
It is a super-3 number, since 3×1068459581293 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (106845158129) by changing a digit.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163437 + ... + 490309.
Almost surely, 2106845958129 is an apocalyptic number.
106845958129 is the 326873-rd square number.
106845958129 is the 163437-th centered octagonal number.
It is an amenable number.
106845958129 is a deficient number, since it is larger than the sum of its proper divisors (326874).
106845958129 is an frugal number, since it uses more digits than its factorization.
106845958129 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 653746 (or 326873 counting only the distinct ones).
The product of its (nonzero) digits is 6220800, while the sum is 58.
The spelling of 106845958129 in words is "one hundred six billion, eight hundred forty-five million, nine hundred fifty-eight thousand, one hundred twenty-nine".
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