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106285216 = 254197927
BaseRepresentation
bin1100101010111…
…00100010100000
321101222211220111
412111130202200
5204202111331
614314021104
72430260302
oct625344240
9241884814
10106285216
1154aa4724
122b717794
131903457b
1410189972
1594e6db1
hex655c8a0

106285216 has 24 divisors (see below), whose sum is σ = 209774880. Its totient is φ = 53009088.

The previous prime is 106285199. The next prime is 106285247. The reversal of 106285216 is 612582601.

It is a super-2 number, since 2×1062852162 = 22593094280333312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9445 + ... + 17371.

It is an arithmetic number, because the mean of its divisors is an integer number (8740620).

Almost surely, 2106285216 is an apocalyptic number.

106285216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106285216 is a deficient number, since it is larger than the sum of its proper divisors (103489664).

106285216 is an equidigital number, since it uses as much as digits as its factorization.

106285216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 106285216 is about 10309.4721494362. The cubic root of 106285216 is about 473.6864406531.

The spelling of 106285216 in words is "one hundred six million, two hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 419 838 1676 3352 6704 7927 13408 15854 31708 63416 126832 253664 3321413 6642826 13285652 26571304 53142608 106285216