Base | Representation |
---|---|
bin | 1100101001000… |
… | …00000000000101 |
3 | 21101112020202200 |
4 | 12110200000011 |
5 | 204121143003 |
6 | 14304425113 |
7 | 2425205340 |
oct | 624400005 |
9 | 241466680 |
10 | 106037253 |
11 | 549453a3 |
12 | 2b618199 |
13 | 18c7874a |
14 | 10123457 |
15 | 94986a3 |
hex | 6520005 |
106037253 has 48 divisors (see below), whose sum is σ = 182906880. Its totient is φ = 57915648.
The previous prime is 106037251. The next prime is 106037257. The reversal of 106037253 is 352730601.
It is a happy number.
106037253 is a `hidden beast` number, since 1 + 0 + 603 + 7 + 2 + 53 = 666.
It is not a de Polignac number, because 106037253 - 21 = 106037251 is a prime.
It is a super-2 number, since 2×1060372532 = 22487798047572018, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106037251) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231801 + ... + 232257.
It is an arithmetic number, because the mean of its divisors is an integer number (3810560).
Almost surely, 2106037253 is an apocalyptic number.
It is an amenable number.
106037253 is a deficient number, since it is larger than the sum of its proper divisors (76869627).
106037253 is a wasteful number, since it uses less digits than its factorization.
106037253 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 626 (or 623 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 27.
The square root of 106037253 is about 10297.4391476716. The cubic root of 106037253 is about 473.3177842652.
Adding to 106037253 its reverse (352730601), we get a palindrome (458767854).
The spelling of 106037253 in words is "one hundred six million, thirty-seven thousand, two hundred fifty-three".
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