Search a number
-
+
108105440 = 2551943827
BaseRepresentation
bin1100111000110…
…00111011100000
321112102022210012
412130120323200
5210133333230
614421024052
72451611132
oct634307340
9245368705
10108105440
1156028243
1230255028
1319520c21
1410501052
159756395
hex6718ee0

108105440 has 96 divisors (see below), whose sum is σ = 275425920. Its totient is φ = 39965184.

The previous prime is 108105419. The next prime is 108105509. The reversal of 108105440 is 44501801.

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 15 ways as a sum of consecutive naturals, for example, 130307 + ... + 131133.

It is an arithmetic number, because the mean of its divisors is an integer number (2869020).

Almost surely, 2108105440 is an apocalyptic number.

108105440 is a gapful number since it is divisible by the number (10) 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 108105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137712960).

108105440 is an abundant number, since it is smaller than the sum of its proper divisors (167320480).

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

108105440 is a wasteful number, since it uses less digits than its factorization.

108105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 108105440 is about 10397.3765921986. The cubic root of 108105440 is about 476.3752425600.

The spelling of 108105440 in words is "one hundred eight million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 76 80 86 95 152 160 172 190 215 304 344 380 430 608 688 760 817 827 860 1376 1520 1634 1654 1720 3040 3268 3308 3440 4085 4135 6536 6616 6880 8170 8270 13072 13232 15713 16340 16540 26144 26464 31426 32680 33080 35561 62852 65360 66160 71122 78565 125704 130720 132320 142244 157130 177805 251408 284488 314260 355610 502816 568976 628520 675659 711220 1137952 1257040 1351318 1422440 2514080 2702636 2844880 3378295 5405272 5689760 6756590 10810544 13513180 21621088 27026360 54052720 108105440