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105299343 = 3217311492
BaseRepresentation
bin1100100011010…
…11110110001111
321100010202112200
412101223312033
5203424034333
614240532543
72416013112
oct621536617
9240122480
10105299343
1154490a56
122b321153
1318a7a906
14ddb0579
15939ec13
hex646bd8f

105299343 has 36 divisors (see below), whose sum is σ = 167364288. Its totient is φ = 63509760.

The previous prime is 105299333. The next prime is 105299351. The reversal of 105299343 is 343992501.

It is a happy number.

105299343 is a `hidden beast` number, since 1 + 0 + 529 + 93 + 43 = 666.

It is not a de Polignac number, because 105299343 - 26 = 105299279 is a prime.

It is a super-2 number, since 2×1052993432 = 22175903272463298, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105299298 and 105299307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105299323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 706633 + ... + 706781.

It is an arithmetic number, because the mean of its divisors is an integer number (4649008).

Almost surely, 2105299343 is an apocalyptic number.

105299343 is a deficient number, since it is larger than the sum of its proper divisors (62064945).

105299343 is a wasteful number, since it uses less digits than its factorization.

105299343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 105299343 is about 10261.5468132246. The cubic root of 105299343 is about 472.2172928810.

The spelling of 105299343 in words is "one hundred five million, two hundred ninety-nine thousand, three hundred forty-three".

Divisors: 1 3 9 17 31 51 93 149 153 279 447 527 1341 1581 2533 4619 4743 7599 13857 22201 22797 41571 66603 78523 199809 235569 377417 688231 706707 1132251 2064693 3396753 6194079 11699927 35099781 105299343