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106673643 = 3233735171
BaseRepresentation
bin1100101101110…
…11010111101011
321102201120201200
412112323113223
5204302024033
614330215243
72433465606
oct626732753
9242646650
10106673643
115523a53a
122b884523
131913c2cb
141024b33d
159572013
hex65bb5eb

106673643 has 12 divisors (see below), whose sum is σ = 154545768. Its totient is φ = 70902720.

The previous prime is 106673641. The next prime is 106673653. The reversal of 106673643 is 346376601.

It is a happy number.

106673643 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 3 + 643 = 666.

It is not a de Polignac number, because 106673643 - 21 = 106673641 is a prime.

It is a super-2 number, since 2×1066736432 = 22758532221782898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106673598 and 106673607.

It is not an unprimeable number, because it can be changed into a prime (106673641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14553 + ... + 20618.

It is an arithmetic number, because the mean of its divisors is an integer number (12878814).

Almost surely, 2106673643 is an apocalyptic number.

106673643 is a deficient number, since it is larger than the sum of its proper divisors (47872125).

106673643 is a wasteful number, since it uses less digits than its factorization.

106673643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35514 (or 35511 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 106673643 is about 10328.2933246495. The cubic root of 106673643 is about 474.2627795705.

The spelling of 106673643 in words is "one hundred six million, six hundred seventy-three thousand, six hundred forty-three".

Divisors: 1 3 9 337 1011 3033 35171 105513 316539 11852627 35557881 106673643