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106646016 = 29369431
BaseRepresentation
bin1100101101101…
…00101000000000
321102200011211110
412112310220000
5204300133031
614325443320
72433322221
oct626645000
9242604743
10106646016
1155220804
122b870540
131912c869
1410241248
159568c46
hex65b4a00

106646016 has 40 divisors (see below), whose sum is σ = 284115744. Its totient is φ = 35548160.

The previous prime is 106645969. The next prime is 106646027. The reversal of 106646016 is 610646601.

It is a super-2 number, since 2×1066460162 = 22746745457344512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33180 + ... + 36251.

Almost surely, 2106646016 is an apocalyptic number.

106646016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106646016 is an abundant number, since it is smaller than the sum of its proper divisors (177469728).

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

106646016 is an frugal number, since it uses more digits than its factorization.

106646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69452 (or 69436 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106646016 is about 10326.9557953929. The cubic root of 106646016 is about 474.2218335326.

The spelling of 106646016 in words is "one hundred six million, six hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 69431 138862 208293 277724 416586 555448 833172 1110896 1666344 2221792 3332688 4443584 6665376 8887168 13330752 17774336 26661504 35548672 53323008 106646016