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106635130 = 25723107619
BaseRepresentation
bin1100101101100…
…01111101111010
321102122121220021
412112301331322
5204244311010
614325321054
72433245410
oct626617572
9242577807
10106635130
1155213608
122b86618a
1319127914
141023b2b0
1595658da
hex65b1f7a

106635130 has 64 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 34588224.

The previous prime is 106635127. The next prime is 106635131. The reversal of 106635130 is 31536601.

It is a super-2 number, since 2×1066351302 = 22742101900233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106635095 and 106635104.

It is not an unprimeable number, because it can be changed into a prime (106635131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171961 + ... + 172579.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2106635130 is an apocalyptic number.

106635130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106635130 is an abundant number, since it is smaller than the sum of its proper divisors (124778630).

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

106635130 is a wasteful number, since it uses less digits than its factorization.

106635130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 106635130 is about 10326.4287147106. The cubic root of 106635130 is about 474.2056974257.

The spelling of 106635130 in words is "one hundred six million, six hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 107 115 161 214 230 322 535 619 749 805 1070 1238 1498 1610 2461 3095 3745 4333 4922 6190 7490 8666 12305 14237 17227 21665 24610 28474 34454 43330 66233 71185 86135 99659 132466 142370 172270 199318 331165 463631 498295 662330 927262 996590 1523359 2318155 3046718 4636310 7616795 10663513 15233590 21327026 53317565 106635130