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108532125 = 32531341181
BaseRepresentation
bin1100111100000…
…01000110011101
321120020000002100
412132001012131
5210241012000
614434115313
72455336122
oct636010635
9246200070
10108532125
1156299879
123041bb39
13196401c0
14105b2749
1597dca00
hex678119d

108532125 has 96 divisors (see below), whose sum is σ = 217028448. Its totient is φ = 51840000.

The previous prime is 108532111. The next prime is 108532139. The reversal of 108532125 is 521235801.

It is a happy number.

108532125 is a `hidden beast` number, since 1 + 0 + 8 + 532 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (108532111) and next prime (108532139).

It can be written as a sum of positive squares in 16 ways, for example, as 102151449 + 6380676 = 10107^2 + 2526^2 .

It is not a de Polignac number, because 108532125 - 28 = 108531869 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599535 + ... + 599715.

It is an arithmetic number, because the mean of its divisors is an integer number (2260713).

Almost surely, 2108532125 is an apocalyptic number.

108532125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108532125 is a deficient number, since it is larger than the sum of its proper divisors (108496323).

108532125 is a wasteful number, since it uses less digits than its factorization.

108532125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 108532125 is about 10417.8752632195. The cubic root of 108532125 is about 477.0011602888.

Adding to 108532125 its reverse (521235801), we get a palindrome (629767926).

The spelling of 108532125 in words is "one hundred eight million, five hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 125 181 195 205 225 325 369 375 533 543 585 615 905 975 1025 1125 1599 1625 1629 1845 2353 2665 2715 2925 3075 4525 4797 4875 5125 7059 7421 7995 8145 9225 11765 13325 13575 14625 15375 21177 22263 22625 23985 35295 37105 39975 40725 46125 58825 66625 66789 67875 96473 105885 111315 119925 176475 185525 199875 203625 289419 294125 333945 482365 529425 556575 599625 868257 882375 927625 1447095 1669725 2411825 2647125 2782875 4341285 7235475 8348625 12059125 21706425 36177375 108532125