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106568361 = 3223514823
BaseRepresentation
bin1100101101000…
…01101010101001
321102112020022100
412112201222221
5204240141421
614324044013
72432546634
oct626415251
9242466270
10106568361
1155178429
122b833609
1319103403
1410220c1b
159550c26
hex65a1aa9

106568361 has 12 divisors (see below), whose sum is σ = 160625088. Its totient is φ = 67956504.

The previous prime is 106568347. The next prime is 106568383. The reversal of 106568361 is 163865601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106568361 is a prime.

It is a super-2 number, since 2×1065683612 = 22713631132452642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106568261) 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 11 ways as a sum of consecutive naturals, for example, 257205 + ... + 257618.

It is an arithmetic number, because the mean of its divisors is an integer number (13385424).

Almost surely, 2106568361 is an apocalyptic number.

It is an amenable number.

106568361 is a deficient number, since it is larger than the sum of its proper divisors (54056727).

106568361 is a wasteful number, since it uses less digits than its factorization.

106568361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514852 (or 514849 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106568361 is about 10323.1952902190. The cubic root of 106568361 is about 474.1067029983.

It can be divided in two parts, 106568 and 361, that added together give a square (106929 = 3272).

The spelling of 106568361 in words is "one hundred six million, five hundred sixty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 23 69 207 514823 1544469 4633407 11840929 35522787 106568361