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108975796335 = 3357437513571
BaseRepresentation
bin110010101111101110…
…1101011000001101111
3101102021201012001002000
41211133131223001233
53241140300440320
6122021321303343
710605343661640
oct1453735530157
9342251161060
10108975796335
1142241aa57aa
1219153934b53
13a379267133
1453bb1756c7
152c7c234c90
hex195f76b06f

108975796335 has 128 divisors (see below), whose sum is σ = 226925445120. Its totient is φ = 48580560000.

The previous prime is 108975796331. The next prime is 108975796343. The reversal of 108975796335 is 533697579801.

It is not a de Polignac number, because 108975796335 - 22 = 108975796331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108975796331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30515100 + ... + 30518670.

It is an arithmetic number, because the mean of its divisors is an integer number (1772855040).

Almost surely, 2108975796335 is an apocalyptic number.

108975796335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108975796335 is an abundant number, since it is smaller than the sum of its proper divisors (117949648785).

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

108975796335 is a wasteful number, since it uses less digits than its factorization.

108975796335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 108975796335 in words is "one hundred eight billion, nine hundred seventy-five million, seven hundred ninety-six thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 751 903 945 1161 1505 1935 2253 2709 3571 3755 4515 5257 5805 6759 8127 10713 11265 13545 15771 17855 20277 24997 26285 32139 32293 33795 40635 47313 53565 74991 78855 96417 96879 101385 124985 141939 153553 160695 161465 224973 226051 236565 290637 374955 460659 482085 484395 674919 678153 709695 767765 871911 1074871 1124865 1130255 1381977 1453185 2034459 2303295 2681821 3224613 3374595 3390765 4145931 4359555 5374355 6103377 6909885 8045463 9673839 10172295 13409105 16123065 18772747 20729655 24136389 29021517 30516885 40227315 48369195 56318241 72409167 93863735 115318303 120681945 145107585 168954723 281591205 345954909 362045835 506864169 576591515 807228121 844773615 1037864727 1729774545 2421684363 2534320845 3113594181 4036140605 5189323635 7265053089 12108421815 15567970905 21795159267 36325265445 108975796335