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106111929 = 37111273617
BaseRepresentation
bin1100101001100…
…10001110111001
321101200001012110
412110302032321
5204131040204
614310202533
72425636140
oct624621671
9241601173
10106111929
1154996510
122b653449
1318ca3731
1410142757
1594b0889
hex65323b9

106111929 has 32 divisors (see below), whose sum is σ = 177831936. Its totient is φ = 54673920.

The previous prime is 106111927. The next prime is 106111933. The reversal of 106111929 is 929111601.

It is not a de Polignac number, because 106111929 - 21 = 106111927 is a prime.

It is a super-2 number, since 2×1061119292 = 22519482952202082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106111896 and 106111905.

It is not an unprimeable number, because it can be changed into a prime (106111921) 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, 27529 + ... + 31145.

It is an arithmetic number, because the mean of its divisors is an integer number (5557248).

Almost surely, 2106111929 is an apocalyptic number.

It is an amenable number.

106111929 is a deficient number, since it is larger than the sum of its proper divisors (71720007).

106111929 is a wasteful number, since it uses less digits than its factorization.

106111929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765.

The product of its (nonzero) digits is 972, while the sum is 30.

The square root of 106111929 is about 10301.0644595595. The cubic root of 106111929 is about 473.4288684481.

The spelling of 106111929 in words is "one hundred six million, one hundred eleven thousand, nine hundred twenty-nine".

Divisors: 1 3 7 11 21 33 77 127 231 381 889 1397 2667 3617 4191 9779 10851 25319 29337 39787 75957 119361 278509 459359 835527 1378077 3215513 5052949 9646539 15158847 35370643 106111929