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106011684 = 22324368483
BaseRepresentation
bin1100101000110…
…01110000100100
321101110221200200
412110121300210
5204114333214
614304110500
72425040652
oct624316044
9241427620
10106011684
1154928169
122b605430
1318c69c0c
1410117dd2
159490d09
hex6519c24

106011684 has 36 divisors (see below), whose sum is σ = 274209936. Its totient is φ = 34514928.

The previous prime is 106011683. The next prime is 106011701. The reversal of 106011684 is 486110601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060116842 = 22476954289031712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32694 + ... + 35789.

Almost surely, 2106011684 is an apocalyptic number.

It is an amenable number.

106011684 is an abundant number, since it is smaller than the sum of its proper divisors (168198252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106011684 is a wasteful number, since it uses less digits than its factorization.

106011684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68536 (or 68531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106011684 is about 10296.1975505523. The cubic root of 106011684 is about 473.2797371482.

The spelling of 106011684 in words is "one hundred six million, eleven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 68483 136966 205449 273932 410898 616347 821796 1232694 2465388 2944769 5889538 8834307 11779076 17668614 26502921 35337228 53005842 106011684