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108345369405 = 35713235416379
BaseRepresentation
bin110010011100111100…
…0110010001100111101
3101100122202221000220110
41210321320302030331
53233342403310110
6121435001140233
710553620305360
oct1447170621475
9340582830813
10108345369405
1141a49155709
1218bb878a679
13a2a8777150
14535b54c0d7
152c41c06a20
hex1939e3233d

108345369405 has 128 divisors (see below), whose sum is σ = 223079915520. Its totient is φ = 43643888640.

The previous prime is 108345369401. The next prime is 108345369421. The reversal of 108345369405 is 504963543801.

It is not a de Polignac number, because 108345369405 - 22 = 108345369401 is a prime.

It is a super-3 number, since 3×1083453694053 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108345369401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16981506 + ... + 16987884.

It is an arithmetic number, because the mean of its divisors is an integer number (1742811840).

Almost surely, 2108345369405 is an apocalyptic number.

108345369405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108345369405 is an abundant number, since it is smaller than the sum of its proper divisors (114734546115).

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

108345369405 is a wasteful number, since it uses less digits than its factorization.

108345369405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 108345369405 in words is "one hundred eight billion, three hundred forty-five million, three hundred sixty-nine thousand, four hundred five".

Divisors: 1 3 5 7 13 15 21 23 35 39 65 69 91 105 115 161 195 273 299 345 455 483 541 805 897 1365 1495 1623 2093 2415 2705 3787 4485 6279 6379 7033 8115 10465 11361 12443 18935 19137 21099 31395 31895 35165 37329 44653 49231 56805 62215 82927 87101 95685 105495 133959 146717 147693 161759 186645 223265 246155 248781 261303 414635 435505 440151 485277 580489 669795 733585 738465 808795 1027019 1132313 1243905 1306515 1741467 1907321 2200755 2426385 2902445 3081057 3396939 3451039 5135095 5661565 5721963 8707335 9536605 10353117 13351247 15405285 16984695 17255195 24157273 28609815 40053741 44863507 51765585 66756235 72471819 79373897 120786365 134590521 200268705 224317535 238121691 314044549 362359095 396869485 555617279 672952605 942133647 1031860661 1190608455 1570222745 1666851837 2778086395 3095581983 4710668235 5159303305 7223024627 8334259185 15477909915 21669073881 36115123135 108345369405