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106226324680 = 2357896942299
BaseRepresentation
bin110001011101110010…
…1010001010011001000
3101011012002120102000111
41202323211101103020
53220022414342210
6120444422444104
710450246601410
oct1427345212310
9334162512014
10106226324680
1141060a99a83
1218706b93634
13a02b74b928
1451d9d45640
152b6ab7b88a
hex18bb9514c8

106226324680 has 64 divisors (see below), whose sum is σ = 273190320000. Its totient is φ = 36415532544.

The previous prime is 106226324599. The next prime is 106226324719. The reversal of 106226324680 is 86423622601.

It is a super-2 number, since 2×1062263246802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2490171 + ... + 2532469.

It is an arithmetic number, because the mean of its divisors is an integer number (4268598750).

Almost surely, 2106226324680 is an apocalyptic number.

106226324680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106226324680 is an abundant number, since it is smaller than the sum of its proper divisors (166963995320).

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

106226324680 is a wasteful number, since it uses less digits than its factorization.

106226324680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51286 (or 51282 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 106226324680 in words is "one hundred six billion, two hundred twenty-six million, three hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 8969 17938 35876 42299 44845 62783 71752 84598 89690 125566 169196 179380 211495 251132 296093 313915 338392 358760 422990 502264 592186 627830 845980 1184372 1255660 1480465 1691960 2368744 2511320 2960930 5921860 11843720 379379731 758759462 1517518924 1896898655 2655658117 3035037848 3793797310 5311316234 7587594620 10622632468 13278290585 15175189240 21245264936 26556581170 53113162340 106226324680