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106711808 = 287247181
BaseRepresentation
bin1100101110001…
…00101100000000
321102210112002012
412113010230000
5204304234213
614331112052
72434015100
oct627045400
9242715065
10106711808
1155266185
122b8a2628
13191537a8
141025b200
15957d4a8
hex65c4b00

106711808 has 108 divisors (see below), whose sum is σ = 254453472. Its totient is φ = 44513280.

The previous prime is 106711799. The next prime is 106711817. The reversal of 106711808 is 808117601.

It is an interprime number because it is at equal distance from previous prime (106711799) and next prime (106711817).

It is a super-2 number, since 2×1067118082 = 22774819933257728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589478 + ... + 589658.

Almost surely, 2106711808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226736).

106711808 is an abundant number, since it is smaller than the sum of its proper divisors (147741664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106711808 is an equidigital number, since it uses as much as digits as its factorization.

106711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 106711808 is about 10330.1407541233. The cubic root of 106711808 is about 474.3193323743.

The spelling of 106711808 in words is "one hundred six million, seven hundred eleven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 181 188 196 224 256 329 362 376 392 448 658 724 752 784 896 1267 1316 1448 1504 1568 1792 2303 2534 2632 2896 3008 3136 4606 5068 5264 5792 6016 6272 8507 8869 9212 10136 10528 11584 12032 12544 17014 17738 18424 20272 21056 23168 34028 35476 36848 40544 42112 46336 59549 68056 70952 73696 81088 84224 119098 136112 141904 147392 162176 238196 272224 283808 294784 324352 416843 476392 544448 567616 589568 833686 952784 1088896 1135232 1667372 1905568 2177792 2270464 3334744 3811136 6669488 7622272 13338976 15244544 26677952 53355904 106711808