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106344639 = 32171136151
BaseRepresentation
bin1100101011010…
…11000010111111
321102002212102100
412111223002333
5204211012024
614315200143
72430625452
oct625530277
9242085370
10106344639
1155035335
122b746053
131905562b
14101a3499
1595097c9
hex656b0bf

106344639 has 24 divisors (see below), whose sum is σ = 164110752. Its totient is φ = 66124800.

The previous prime is 106344631. The next prime is 106344647. The reversal of 106344639 is 936443601.

106344639 is a `hidden beast` number, since 10 + 6 + 3 + 4 + 4 + 639 = 666.

It is an interprime number because it is at equal distance from previous prime (106344631) and next prime (106344647).

It is not a de Polignac number, because 106344639 - 23 = 106344631 is a prime.

It is a super-2 number, since 2×1063446392 = 22618364488080642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106344631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14214 + ... + 20364.

It is an arithmetic number, because the mean of its divisors is an integer number (6837948).

Almost surely, 2106344639 is an apocalyptic number.

106344639 is a deficient number, since it is larger than the sum of its proper divisors (57766113).

106344639 is a wasteful number, since it uses less digits than its factorization.

106344639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 106344639 is about 10312.3537080533. The cubic root of 106344639 is about 473.7747019884.

The spelling of 106344639 in words is "one hundred six million, three hundred forty-four thousand, six hundred thirty-nine".

Divisors: 1 3 9 17 51 113 153 339 1017 1921 5763 6151 17289 18453 55359 104567 313701 695063 941103 2085189 6255567 11816071 35448213 106344639