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108107352 = 23331759499
BaseRepresentation
bin1100111000110…
…01011001011000
321112102102102000
412130121121120
5210133413402
614421041000
72451616533
oct634313130
9245372360
10108107352
1156029721
1230256160
1319521a62
1410501a1a
159756c1c
hex6719658

108107352 has 128 divisors (see below), whose sum is σ = 324000000. Its totient is φ = 33274368.

The previous prime is 108107341. The next prime is 108107387. The reversal of 108107352 is 253701801.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 216399 + ... + 216897.

It is an arithmetic number, because the mean of its divisors is an integer number (2531250).

Almost surely, 2108107352 is an apocalyptic number.

108107352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108107352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000000).

108107352 is an abundant number, since it is smaller than the sum of its proper divisors (215892648).

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

108107352 is a wasteful number, since it uses less digits than its factorization.

108107352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 108107352 is about 10397.4685380625. The cubic root of 108107352 is about 476.3780510036.

The spelling of 108107352 in words is "one hundred eight million, one hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 59 68 72 102 108 118 136 153 177 204 216 236 306 354 408 459 472 499 531 612 708 918 998 1003 1062 1224 1416 1497 1593 1836 1996 2006 2124 2994 3009 3186 3672 3992 4012 4248 4491 5988 6018 6372 8024 8483 8982 9027 11976 12036 12744 13473 16966 17964 18054 24072 25449 26946 27081 29441 33932 35928 36108 50898 53892 54162 58882 67864 72216 76347 88323 101796 107784 108324 117764 152694 176646 203592 216648 229041 235528 264969 305388 353292 458082 500497 529938 610776 706584 794907 916164 1000994 1059876 1501491 1589814 1832328 2001988 2119752 3002982 3179628 4003976 4504473 6005964 6359256 9008946 12011928 13513419 18017892 27026838 36035784 54053676 108107352