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106000176 = 2432208337
BaseRepresentation
bin1100101000101…
…10111100110000
321101110100220110
412110112330300
5204114001201
614303541320
72424662262
oct624267460
9241410813
10106000176
115491a557
122b5ba840
1318c648c9
1410113b32
15948c6d6
hex6516f30

106000176 has 20 divisors (see below), whose sum is σ = 273833912. Its totient is φ = 35333376.

The previous prime is 106000073. The next prime is 106000187. The reversal of 106000176 is 671000601.

It is a super-2 number, since 2×1060001762 = 22472074624061952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104121 + ... + 1104216.

Almost surely, 2106000176 is an apocalyptic number.

106000176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106000176 is an abundant number, since it is smaller than the sum of its proper divisors (167833736).

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

106000176 is a wasteful number, since it uses less digits than its factorization.

106000176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208348 (or 2208342 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106000176 is about 10295.6386882990. The cubic root of 106000176 is about 473.2626110476.

Adding to 106000176 its reverse (671000601), we get a palindrome (777000777).

The spelling of 106000176 in words is "one hundred six million, one hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 2208337 4416674 6625011 8833348 13250022 17666696 26500044 35333392 53000088 106000176