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108135688350 = 23524318738951
BaseRepresentation
bin110010010110101100…
…0111010100010011110
3101100010011101010120110
41210231120322202132
53232430214011400
6121402111030450
710545463120344
oct1445530724236
9340104333513
10108135688350
1141950860188
1218b5a50b426
13a2741b0511
14533b769994
152c2d5d8e50
hex192d63a89e

108135688350 has 96 divisors (see below), whose sum is σ = 274590353664. Its totient is φ = 28147392000.

The previous prime is 108135688321. The next prime is 108135688357. The reversal of 108135688350 is 53886531801.

It is a self number, because there is not a number n which added to its sum of digits gives 108135688350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108135688357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12076375 + ... + 12085325.

It is an arithmetic number, because the mean of its divisors is an integer number (2860316184).

Almost surely, 2108135688350 is an apocalyptic number.

108135688350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108135688350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137295176832).

108135688350 is an abundant number, since it is smaller than the sum of its proper divisors (166454665314).

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

108135688350 is a wasteful number, since it uses less digits than its factorization.

108135688350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 108135688350 in words is "one hundred eight billion, one hundred thirty-five million, six hundred eighty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 1873 2150 3225 3746 5619 6450 8951 9365 11238 17902 18730 26853 28095 44755 46825 53706 56190 80539 89510 93650 134265 140475 161078 223775 241617 268530 280950 384893 402695 447550 483234 671325 769786 805390 1154679 1208085 1342650 1924465 2013475 2309358 2416170 3848930 4026950 5773395 6040425 9622325 11546790 12080850 16765223 19244650 28866975 33530446 50295669 57733950 83826115 100591338 167652230 251478345 419130575 502956690 720904589 838261150 1257391725 1441809178 2162713767 2514783450 3604522945 4325427534 7209045890 10813568835 18022614725 21627137670 36045229450 54067844175 108135688350