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106216671 = 3113379551
BaseRepresentation
bin1100101010010…
…11110011011111
321101212100212210
412111023303133
5204142413141
614312331503
72426553411
oct625136337
9241770783
10106216671
1154a58180
122b6a3b93
131900c302
141016c9b1
1594d1916
hex654bcdf

106216671 has 16 divisors (see below), whose sum is σ = 154971648. Its totient is φ = 64176000.

The previous prime is 106216661. The next prime is 106216681. The reversal of 106216671 is 176612601.

It is an interprime number because it is at equal distance from previous prime (106216661) and next prime (106216681).

It is not a de Polignac number, because 106216671 - 210 = 106215647 is a prime.

It is a super-2 number, since 2×1062166712 = 22563962396644482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106216661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6346 + ... + 15896.

It is an arithmetic number, because the mean of its divisors is an integer number (9685728).

Almost surely, 2106216671 is an apocalyptic number.

106216671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106216671 is a deficient number, since it is larger than the sum of its proper divisors (48754977).

106216671 is a wasteful number, since it uses less digits than its factorization.

106216671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 106216671 is about 10306.1472432719. The cubic root of 106216671 is about 473.5845894874.

The spelling of 106216671 in words is "one hundred six million, two hundred sixteen thousand, six hundred seventy-one".

Divisors: 1 3 11 33 337 1011 3707 9551 11121 28653 105061 315183 3218687 9656061 35405557 106216671