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106068776 = 23112989467
BaseRepresentation
bin1100101001001…
…11101100101000
321101120212000012
412110213230220
5204123200101
614305231052
72425366262
oct624475450
9241525005
10106068776
1154967050
122b632488
1318c89bb8
1410130b32
1594a2bbb
hex6527b28

106068776 has 64 divisors (see below), whose sum is σ = 227448000. Its totient is φ = 45928960.

The previous prime is 106068769. The next prime is 106068803. The reversal of 106068776 is 677860601.

It is a super-2 number, since 2×1060687762 = 22501170484276352, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226895 + ... + 227361.

It is an arithmetic number, because the mean of its divisors is an integer number (3553875).

Almost surely, 2106068776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106068776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113724000).

106068776 is an abundant number, since it is smaller than the sum of its proper divisors (121379224).

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

106068776 is a wasteful number, since it uses less digits than its factorization.

106068776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 106068776 is about 10298.9696572036. The cubic root of 106068776 is about 473.3646826203.

The spelling of 106068776 in words is "one hundred six million, sixty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 89 116 178 232 319 356 467 638 712 934 979 1276 1868 1958 2552 2581 3736 3916 5137 5162 7832 10274 10324 13543 20548 20648 27086 28391 41096 41563 54172 56782 83126 108344 113564 148973 166252 227128 297946 332504 457193 595892 914386 1191784 1205327 1828772 2410654 3657544 4821308 9642616 13258597 26517194 53034388 106068776