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106345260 = 22325784401
BaseRepresentation
bin1100101011010…
…11001100101100
321102002220021100
412111223030230
5204211022020
614315203100
72430630330
oct625531454
9242086240
10106345260
115503584a
122b746490
13190559b8
14101a37c0
159509a90
hex656b32c

106345260 has 72 divisors (see below), whose sum is σ = 368667936. Its totient is φ = 24307200.

The previous prime is 106345249. The next prime is 106345273. The reversal of 106345260 is 62543601.

106345260 is a `hidden beast` number, since 1 + 0 + 634 + 5 + 26 + 0 = 666.

It is a super-2 number, since 2×1063452602 = 22618628648935200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40941 + ... + 43460.

It is an arithmetic number, because the mean of its divisors is an integer number (5120388).

Almost surely, 2106345260 is an apocalyptic number.

106345260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106345260 is an abundant number, since it is smaller than the sum of its proper divisors (262322676).

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

106345260 is a wasteful number, since it uses less digits than its factorization.

106345260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84423 (or 84418 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106345260 is about 10312.3838175274. The cubic root of 106345260 is about 473.7756241898.

Adding to 106345260 its reverse (62543601), we get a palindrome (168888861).

The spelling of 106345260 in words is "one hundred six million, three hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 84401 168802 253203 337604 422005 506406 590807 759609 844010 1012812 1181614 1266015 1519218 1688020 1772421 2363228 2532030 2954035 3038436 3544842 3798045 5064060 5317263 5908070 7089684 7596090 8862105 10634526 11816140 15192180 17724210 21269052 26586315 35448420 53172630 106345260