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105323454240 = 2535832643661
BaseRepresentation
bin110001000010111000…
…1000101111100100000
3101001212011122211121120
41202011301011330200
53211200301013430
6120215051052240
710416004406154
oct1420561057440
9331764584546
10105323454240
1140738387064
12184b4741080
139c1668b874
14515207d064
152b16784610
hex1885c45f20

105323454240 has 96 divisors (see below), whose sum is σ = 335766223296. Its totient is φ = 27747855360.

The previous prime is 105323454193. The next prime is 105323454277. The reversal of 105323454240 is 42454323501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1053234542402 (a number of 23 digits) contains 22 as substring.

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, 1281991 + ... + 1361670.

It is an arithmetic number, because the mean of its divisors is an integer number (3497564826).

Almost surely, 2105323454240 is an apocalyptic number.

105323454240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105323454240 is an abundant number, since it is smaller than the sum of its proper divisors (230442769056).

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

105323454240 is a wasteful number, since it uses less digits than its factorization.

105323454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643762 (or 2643754 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 105323454240 its reverse (42454323501), we get a palindrome (147777777741).

The spelling of 105323454240 in words is "one hundred five billion, three hundred twenty-three million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 2643661 5287322 7930983 10574644 13218305 15861966 21149288 26436610 31723932 39654915 42298576 52873220 63447864 79309830 84597152 105746440 126895728 158619660 211492880 219423863 253791456 317239320 422985760 438847726 634478640 658271589 877695452 1097119315 1268957280 1316543178 1755390904 2194238630 2633086356 3291357945 3510781808 4388477260 5266172712 6582715890 7021563616 8776954520 10532345424 13165431780 17553909040 21064690848 26330863560 35107818080 52661727120 105323454240