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108114825 = 35272133173
BaseRepresentation
bin1100111000110…
…11001110001001
321112102210122210
412130123032021
5210134133300
614421135333
72451650400
oct634331611
9245383583
10108114825
11560342a5
123025a549
1319525290
1410504637
159759050
hex671b389

108114825 has 144 divisors (see below), whose sum is σ = 234318336. Its totient is φ = 43545600.

The previous prime is 108114823. The next prime is 108114893. The reversal of 108114825 is 528411801.

It is a happy number.

It is not a de Polignac number, because 108114825 - 21 = 108114823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 108114792 and 108114801.

It is not an unprimeable number, because it can be changed into a prime (108114821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1480989 + ... + 1481061.

Almost surely, 2108114825 is an apocalyptic number.

108114825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108114825 is an abundant number, since it is smaller than the sum of its proper divisors (126203511).

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

108114825 is a wasteful number, since it uses less digits than its factorization.

108114825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 108114825 is about 10397.8278981718. The cubic root of 108114825 is about 476.3890274114.

The spelling of 108114825 in words is "one hundred eight million, one hundred fourteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 31 35 39 49 65 73 75 91 93 105 147 155 175 195 217 219 245 273 325 365 403 455 465 511 525 637 651 735 775 949 975 1085 1095 1209 1225 1365 1519 1533 1825 1911 2015 2263 2275 2325 2555 2821 2847 3185 3255 3577 3675 4557 4745 5425 5475 6045 6643 6789 6825 7595 7665 8463 9555 10075 10731 11315 12775 14105 14235 15841 15925 16275 17885 19747 19929 22785 23725 29419 30225 33215 33945 37975 38325 42315 46501 47523 47775 53655 56575 59241 70525 71175 79205 88257 89425 98735 99645 110887 113925 139503 147095 166075 169725 205933 211575 232505 237615 268275 296205 332661 396025 441285 493675 498225 554435 617799 697515 735475 1029665 1162525 1188075 1441531 1481025 1663305 2206425 2772175 3088995 3487575 4324593 5148325 7207655 8316525 15444975 21622965 36038275 108114825