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106671135 = 3529415981
BaseRepresentation
bin1100101101110…
…10110000011111
321102201110021210
412112322300133
5204301434020
614330155503
72433455364
oct626726037
9242643253
10106671135
115523866a
122b882b93
131913b11c
141024a46b
1595713e0
hex65bac1f

106671135 has 32 divisors (see below), whose sum is σ = 180895680. Its totient is φ = 53580800.

The previous prime is 106671133. The next prime is 106671151. The reversal of 106671135 is 531176601.

It is not a de Polignac number, because 106671135 - 21 = 106671133 is a prime.

It is a super-2 number, since 2×1066711352 = 22757462084376450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106671133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14845 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (5652990).

Almost surely, 2106671135 is an apocalyptic number.

106671135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106671135 is a deficient number, since it is larger than the sum of its proper divisors (74224545).

106671135 is a wasteful number, since it uses less digits than its factorization.

106671135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 106671135 is about 10328.1719098783. The cubic root of 106671135 is about 474.2590627499.

The spelling of 106671135 in words is "one hundred six million, six hundred seventy-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 29 41 87 123 145 205 435 615 1189 3567 5945 5981 17835 17943 29905 89715 173449 245221 520347 735663 867245 1226105 2601735 3678315 7111409 21334227 35557045 106671135