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106223956 = 22176412437
BaseRepresentation
bin1100101010011…
…01100101010100
321101212201212121
412111031211110
5204143131311
614312425324
72426613556
oct625154524
9241781777
10106223956
1154a626a3
122b6a8244
1319012717
14101714d6
1594d3b71
hex654d954

106223956 has 24 divisors (see below), whose sum is σ = 197214696. Its totient is φ = 49889280.

The previous prime is 106223947. The next prime is 106223977. The reversal of 106223956 is 659322601.

It can be written as a sum of positive squares in 4 ways, for example, as 79495056 + 26728900 = 8916^2 + 5170^2 .

It is a super-2 number, since 2×1062239562 = 22567057656579872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 42370 + ... + 44806.

It is an arithmetic number, because the mean of its divisors is an integer number (8217279).

Almost surely, 2106223956 is an apocalyptic number.

It is an amenable number.

106223956 is a deficient number, since it is larger than the sum of its proper divisors (90990740).

106223956 is a wasteful number, since it uses less digits than its factorization.

106223956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 106223956 is about 10306.5006670547. The cubic root of 106223956 is about 473.5954163655.

The spelling of 106223956 in words is "one hundred six million, two hundred twenty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 17 34 68 641 1282 2437 2564 4874 9748 10897 21794 41429 43588 82858 165716 1562117 3124234 6248468 26555989 53111978 106223956