Base | Representation |
---|---|
bin | 1100101001110… |
… | …10011001001110 |
3 | 21101201202001120 |
4 | 12110322121032 |
5 | 204133122413 |
6 | 14311021410 |
7 | 2426135454 |
oct | 624723116 |
9 | 241652046 |
10 | 106145358 |
11 | 54a09640 |
12 | 2b66a866 |
13 | 18cb5a07 |
14 | 101509d4 |
15 | 94ba723 |
hex | 653a64e |
106145358 has 32 divisors (see below), whose sum is σ = 234772992. Its totient is φ = 31723200.
The previous prime is 106145357. The next prime is 106145359. The reversal of 106145358 is 853541601.
It is an interprime number because it is at equal distance from previous prime (106145357) and next prime (106145359).
It is a super-3 number, since 3×1061453583 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106145357) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6198 + ... + 15833.
It is an arithmetic number, because the mean of its divisors is an integer number (7336656).
Almost surely, 2106145358 is an apocalyptic number.
106145358 is an abundant number, since it is smaller than the sum of its proper divisors (128627634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106145358 is a wasteful number, since it uses less digits than its factorization.
106145358 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22120.
The product of its (nonzero) digits is 14400, while the sum is 33.
The square root of 106145358 is about 10302.6869310874. The cubic root of 106145358 is about 473.4785788251.
Adding to 106145358 its reverse (853541601), we get a palindrome (959686959).
The spelling of 106145358 in words is "one hundred six million, one hundred forty-five thousand, three hundred fifty-eight".
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