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106532811 = 32721121961
BaseRepresentation
bin1100101100110…
…00111111001011
321102110102112200
412112120333023
5204233022221
614323211243
72432341200
oct626307713
9242412480
10106532811
1155153750
122b816b23
13190c0188
1410211ca7
159545426
hex6598fcb

106532811 has 36 divisors (see below), whose sum is σ = 195286104. Its totient is φ = 55339200.

The previous prime is 106532759. The next prime is 106532827. The reversal of 106532811 is 118235601.

106532811 is a `hidden beast` number, since 1 + 0 + 653 + 2 + 8 + 1 + 1 = 666.

It is not a de Polignac number, because 106532811 - 213 = 106524619 is a prime.

It is a super-2 number, since 2×1065328112 = 22698479639123442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106532831) 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, 6130 + ... + 15831.

It is an arithmetic number, because the mean of its divisors is an integer number (5424614).

Almost surely, 2106532811 is an apocalyptic number.

106532811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106532811 is a deficient number, since it is larger than the sum of its proper divisors (88753293).

106532811 is a wasteful number, since it uses less digits than its factorization.

106532811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21992 (or 21982 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106532811 is about 10321.4732959980. The cubic root of 106532811 is about 474.0539782570.

The spelling of 106532811 in words is "one hundred six million, five hundred thirty-two thousand, eight hundred eleven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 21961 65883 153727 197649 241571 461181 724713 1076089 1383543 1690997 2174139 3228267 5072991 9684801 11836979 15218973 35510937 106532811