Base | Representation |
---|---|
bin | 1100100010001… |
… | …01111110101101 |
3 | 21022211212210000 |
4 | 12101011332231 |
5 | 203404103422 |
6 | 14233334513 |
7 | 2414465652 |
oct | 621057655 |
9 | 238755700 |
10 | 105144237 |
11 | 54395470 |
12 | 2b267439 |
13 | 18a25133 |
14 | dd6dc29 |
15 | 936dcac |
hex | 6445fad |
105144237 has 40 divisors (see below), whose sum is σ = 172497600. Its totient is φ = 63296640.
The previous prime is 105144223. The next prime is 105144241. The reversal of 105144237 is 732441501.
It is not a de Polignac number, because 105144237 - 26 = 105144173 is a prime.
It is a super-2 number, since 2×1051442372 = 22110621148624338, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 105144237.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105144257) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177013 + ... + 177605.
It is an arithmetic number, because the mean of its divisors is an integer number (4312440).
Almost surely, 2105144237 is an apocalyptic number.
It is an amenable number.
105144237 is a deficient number, since it is larger than the sum of its proper divisors (67353363).
105144237 is a wasteful number, since it uses less digits than its factorization.
105144237 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 815 (or 806 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 105144237 is about 10253.9863955439. The cubic root of 105144237 is about 471.9853201529.
Adding to 105144237 its reverse (732441501), we get a palindrome (837585738).
The spelling of 105144237 in words is "one hundred five million, one hundred forty-four thousand, two hundred thirty-seven".
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