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106071084 = 223272157383
BaseRepresentation
bin1100101001010…
…00010000101100
321101120222011200
412110220100230
5204123233314
614305245500
72425406100
oct624502054
9241528150
10106071084
1154968859
122b633890
1318c8ac72
1410131900
1594a3709
hex652842c

106071084 has 108 divisors (see below), whose sum is σ = 314705664. Its totient is φ = 30034368.

The previous prime is 106071083. The next prime is 106071103. The reversal of 106071084 is 480170601.

It is a happy number.

It is a super-2 number, since 2×1060710842 = 22502149721870112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106071083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276757 + ... + 277139.

Almost surely, 2106071084 is an apocalyptic number.

106071084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106071084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157352832).

106071084 is an abundant number, since it is smaller than the sum of its proper divisors (208634580).

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

106071084 is a wasteful number, since it uses less digits than its factorization.

106071084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106071084 is about 10299.0817066377. The cubic root of 106071084 is about 473.3681159830.

The spelling of 106071084 in words is "one hundred six million, seventy-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 157 196 252 294 314 383 441 471 588 628 766 882 942 1099 1149 1413 1532 1764 1884 2198 2298 2681 2826 3297 3447 4396 4596 5362 5652 6594 6894 7693 8043 9891 10724 13188 13788 15386 16086 18767 19782 23079 24129 30772 32172 37534 39564 46158 48258 56301 60131 69237 75068 92316 96516 112602 120262 138474 168903 180393 225204 240524 276948 337806 360786 420917 541179 675612 721572 841834 1082358 1262751 1683668 2164716 2525502 2946419 3788253 5051004 5892838 7576506 8839257 11785676 15153012 17678514 26517771 35357028 53035542 106071084