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106116647 = 7134347577
BaseRepresentation
bin1100101001100…
…11011000100111
321101200021200012
412110303120213
5204131213042
614310240435
72425655660
oct624633047
9241607605
10106116647
115499a00a
122b65611b
1318ca5920
1410144367
1594b1e82
hex6533627

106116647 has 32 divisors (see below), whose sum is σ = 136722432. Its totient is φ = 80123904.

The previous prime is 106116607. The next prime is 106116683. The reversal of 106116647 is 746611601.

It is a happy number.

It is not a de Polignac number, because 106116647 - 214 = 106100263 is a prime.

It is a super-2 number, since 2×1061166472 = 22521485541045218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106116607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183623 + ... + 184199.

It is an arithmetic number, because the mean of its divisors is an integer number (4272576).

Almost surely, 2106116647 is an apocalyptic number.

106116647 is a deficient number, since it is larger than the sum of its proper divisors (30605785).

106116647 is a wasteful number, since it uses less digits than its factorization.

106116647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 106116647 is about 10301.2934624735. The cubic root of 106116647 is about 473.4358849520.

The spelling of 106116647 in words is "one hundred six million, one hundred sixteen thousand, six hundred forty-seven".

Divisors: 1 7 13 43 47 91 301 329 559 577 611 2021 3913 4039 4277 7501 14147 24811 26273 27119 52507 173677 183911 189833 322543 352547 1166117 2257801 2467829 8162819 15159521 106116647