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106306868 = 22169715661
BaseRepresentation
bin1100101011000…
…01110100110100
321102000221121102
412111201310310
5204203304433
614314305232
72430410363
oct625416464
9242027542
10106306868
1155009a18
122b728218
1319041395
14101937da
1594ed4e8
hex6561d34

106306868 has 12 divisors (see below), whose sum is σ = 186158532. Its totient is φ = 53118720.

The previous prime is 106306867. The next prime is 106306877. The reversal of 106306868 is 868603601.

It can be written as a sum of positive squares in 2 ways, for example, as 104080804 + 2226064 = 10202^2 + 1492^2 .

It is a super-2 number, since 2×1063068682 = 22602300367938848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1043 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (15513211).

Almost surely, 2106306868 is an apocalyptic number.

It is an amenable number.

106306868 is a deficient number, since it is larger than the sum of its proper divisors (79851664).

106306868 is a wasteful number, since it uses less digits than its factorization.

106306868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17362 (or 17360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 106306868 is about 10310.5221982206. The cubic root of 106306868 is about 473.7186043062.

The spelling of 106306868 in words is "one hundred six million, three hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 4 1697 3394 6788 15661 31322 62644 26576717 53153434 106306868