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106684083 = 32111736229
BaseRepresentation
bin1100101101111…
…01111010110011
321102202010001100
412112331322303
5204302342313
614330335443
72433541212
oct626757263
9242663040
10106684083
1155247370
122b88a583
1319143c9c
1410251079
159575173
hex65bdeb3

106684083 has 24 divisors (see below), whose sum is σ = 169107120. Its totient is φ = 64272960.

The previous prime is 106684079. The next prime is 106684087. The reversal of 106684083 is 380486601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106684079) and next prime (106684087).

It is not a de Polignac number, because 106684083 - 22 = 106684079 is a prime.

It is a super-2 number, since 2×1066840832 = 22762987131101778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106684087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14013 + ... + 20241.

It is an arithmetic number, because the mean of its divisors is an integer number (7046130).

Almost surely, 2106684083 is an apocalyptic number.

106684083 is a deficient number, since it is larger than the sum of its proper divisors (62423037).

106684083 is a wasteful number, since it uses less digits than its factorization.

106684083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106684083 is about 10328.7987200836. The cubic root of 106684083 is about 474.2782508771.

The spelling of 106684083 in words is "one hundred six million, six hundred eighty-four thousand, eighty-three".

Divisors: 1 3 9 11 33 99 173 519 1557 1903 5709 6229 17127 18687 56061 68519 205557 616671 1077617 3232851 9698553 11853787 35561361 106684083