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108310775680 = 2752310768767
BaseRepresentation
bin110010011011111010…
…0110100011110000000
3101100120100211111020101
41210313310310132000
53233310024310210
6121431323452144
710553020255132
oct1446764643600
9340510744211
10108310775680
1141a30677958
1218ba9087054
13a2a15542a3
145356b05052
152c3db71a3a
hex1937d34780

108310775680 has 128 divisors (see below), whose sum is σ = 272717383680. Its totient is φ = 41052751872.

The previous prime is 108310775653. The next prime is 108310775711. The reversal of 108310775680 is 86577013801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 108310775680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540657 + ... + 1609423.

It is an arithmetic number, because the mean of its divisors is an integer number (2130604560).

Almost surely, 2108310775680 is an apocalyptic number.

108310775680 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 108310775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136358691840).

108310775680 is an abundant number, since it is smaller than the sum of its proper divisors (164406608000).

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

108310775680 is a wasteful number, since it uses less digits than its factorization.

108310775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68916 (or 68904 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 108310775680 in words is "one hundred eight billion, three hundred ten million, seven hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 107 115 128 160 184 214 230 320 368 428 460 535 640 736 856 920 1070 1472 1712 1840 2140 2461 2944 3424 3680 4280 4922 6848 7360 8560 9844 12305 13696 14720 17120 19688 24610 34240 39376 49220 68480 68767 78752 98440 137534 157504 196880 275068 315008 343835 393760 550136 687670 787520 1100272 1375340 1575040 1581641 2200544 2750680 3163282 4401088 5501360 6326564 7358069 7908205 8802176 11002720 12653128 14716138 15816410 22005440 25306256 29432276 31632820 36790345 44010880 50612512 58864552 63265640 73580690 101225024 117729104 126531280 147161380 169235587 202450048 235458208 253062560 294322760 338471174 470916416 506125120 588645520 676942348 846177935 941832832 1012250240 1177291040 1353884696 1692355870 2354582080 2707769392 3384711740 4709164160 5415538784 6769423480 10831077568 13538846960 21662155136 27077693920 54155387840 108310775680