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105745818423 = 3723141565979
BaseRepresentation
bin110001001111011110…
…0010010001100110111
3101002221121102011100110
41202132330102030313
53213031412142143
6120325015514103
710432323424500
oct1423674221467
9332847364313
10105745818423
1140934837573
12185b2088933
139c830306bb
1451921c5ba7
152b3d8b4533
hex189ef12337

105745818423 has 48 divisors (see below), whose sum is σ = 173434383360. Its totient is φ = 57050582400.

The previous prime is 105745818359. The next prime is 105745818433. The reversal of 105745818423 is 324818547501.

It is not a de Polignac number, because 105745818423 - 26 = 105745818359 is a prime.

It is a super-2 number, since 2×1057458184232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105745818433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96153 + ... + 469826.

It is an arithmetic number, because the mean of its divisors is an integer number (3613216320).

Almost surely, 2105745818423 is an apocalyptic number.

105745818423 is a deficient number, since it is larger than the sum of its proper divisors (67688564937).

105745818423 is a wasteful number, since it uses less digits than its factorization.

105745818423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566068 (or 566061 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 105745818423 in words is "one hundred five billion, seven hundred forty-five million, eight hundred eighteen thousand, four hundred twenty-three".

Divisors: 1 3 7 21 31 41 49 93 123 147 217 287 651 861 1271 1519 2009 3813 4557 6027 8897 26691 62279 186837 565979 1697937 3961853 11885559 17545349 23205139 27732971 52636047 69615417 83198913 122817443 162435973 368452329 487307919 719359309 859722101 1137051811 2158077927 2579166303 3411155433 5035515163 15106545489 35248606141 105745818423