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106368703875 = 345372214399
BaseRepresentation
bin110001100010000010…
…0011001110110000011
3101011120000111000120000
41203010010121312003
53220320342011000
6120510510251043
710453626031200
oct1430404316603
9334500430500
10106368703875
11411243a6635
12187467b6a83
13a0520acb85
145210c08ca7
152b78403000
hex18c4119d83

106368703875 has 120 divisors (see below), whose sum is σ = 230679820800. Its totient is φ = 48625466400.

The previous prime is 106368703873. The next prime is 106368703907. The reversal of 106368703875 is 578307863601.

It is not a de Polignac number, because 106368703875 - 21 = 106368703873 is a prime.

It is a super-2 number, since 2×1063687038752 (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 (106368703873) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 388926 + ... + 603324.

It is an arithmetic number, because the mean of its divisors is an integer number (1922331840).

Almost surely, 2106368703875 is an apocalyptic number.

106368703875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106368703875 is an abundant number, since it is smaller than the sum of its proper divisors (124311116925).

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

106368703875 is an equidigital number, since it uses as much as digits as its factorization.

106368703875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214440 (or 214414 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 106368703875 in words is "one hundred six billion, three hundred sixty-eight million, seven hundred three thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 245 315 375 405 441 525 567 675 735 875 945 1125 1225 1323 1575 2025 2205 2625 2835 3375 3675 3969 4725 6125 6615 7875 10125 11025 14175 18375 19845 23625 33075 55125 70875 99225 165375 214399 496125 643197 1071995 1500793 1929591 3215985 4502379 5359975 5788773 7503965 9647955 10505551 13507137 16079925 17366319 22511895 26799875 28943865 31516653 37519825 40521411 48239775 52527755 67535685 80399625 86831595 94549959 112559475 121564233 144719325 157583265 187599125 202607055 241198875 262638775 283649877 337678425 434157975 472749795 562797375 607821165 723596625 787916325 850949631 1013035275 1313193875 1418249385 1688392125 2170789875 2363748975 3039105825 3939581625 4254748155 5065176375 7091246925 11818744875 15195529125 21273740775 35456234625 106368703875