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106808212600 = 2352737315631
BaseRepresentation
bin110001101111001000…
…0111111110001111000
3101012200122111101011221
41203132100333301320
53222220400300400
6121022250401424
710500543553555
oct1433620776170
9335618441157
10106808212600
114132a4a6a91
1218849a30274
13a0c21754cb
145253335a2c
152ba1cbcc1a
hex18de43fc78

106808212600 has 48 divisors (see below), whose sum is σ = 251730897120. Its totient is φ = 42138028800.

The previous prime is 106808212597. The next prime is 106808212607. The reversal of 106808212600 is 6212808601.

It is a super-2 number, since 2×1068082126002 (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 (106808212607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3643216 + ... + 3672415.

It is an arithmetic number, because the mean of its divisors is an integer number (5244393690).

Almost surely, 2106808212600 is an apocalyptic number.

106808212600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106808212600 is an abundant number, since it is smaller than the sum of its proper divisors (144922684520).

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

106808212600 is a wasteful number, since it uses less digits than its factorization.

106808212600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315720 (or 7315711 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 106808212600 in words is "one hundred six billion, eight hundred eight million, two hundred twelve thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 7315631 14631262 29262524 36578155 58525048 73156310 146312620 182890775 292625240 365781550 534041063 731563100 1068082126 1463126200 2136164252 2670205315 4272328504 5340410630 10680821260 13351026575 21361642520 26702053150 53404106300 106808212600