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106806157800 = 23352178010263
BaseRepresentation
bin110001101111000100…
…1001010000111101000
3101012200111121222112020
41203132021022013220
53222214334022200
6121022134344440
710500520235106
oct1433611120750
9335614558466
10106806157800
1141329323201
12188491bb120
13a0c1906154
145252d5cc76
152ba1a13ea0
hex18de24a1e8

106806157800 has 48 divisors (see below), whose sum is σ = 331099091040. Its totient is φ = 28481641920.

The previous prime is 106806157789. The next prime is 106806157807. The reversal of 106806157800 is 8751608601.

It is a super-2 number, since 2×1068061578002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106806157807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89004532 + ... + 89005731.

It is an arithmetic number, because the mean of its divisors is an integer number (6897897730).

Almost surely, 2106806157800 is an apocalyptic number.

106806157800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106806157800 is an abundant number, since it is smaller than the sum of its proper divisors (224292933240).

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

106806157800 is a wasteful number, since it uses less digits than its factorization.

106806157800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178010282 (or 178010273 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 106806157800 in words is "one hundred six billion, eight hundred six million, one hundred fifty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 178010263 356020526 534030789 712041052 890051315 1068061578 1424082104 1780102630 2136123156 2670153945 3560205260 4272246312 4450256575 5340307890 7120410520 8900513150 10680615780 13350769725 17801026300 21361231560 26701539450 35602052600 53403078900 106806157800