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106364868 = 22324136779
BaseRepresentation
bin1100101011011…
…11111111000100
321102010220011120
412111233333010
5204212133433
614315433540
72431041441
oct625577704
9242126146
10106364868
1155049555
122b7558b0
13190618bc
14101aa9c8
1595107b3
hex656ffc4

106364868 has 24 divisors (see below), whose sum is σ = 249221280. Its totient is φ = 35306880.

The previous prime is 106364861. The next prime is 106364873. The reversal of 106364868 is 868463601.

It is a happy number.

It is a super-2 number, since 2×1063648682 = 22626970289314848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106364861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15498 + ... + 21281.

It is an arithmetic number, because the mean of its divisors is an integer number (10384220).

Almost surely, 2106364868 is an apocalyptic number.

It is an amenable number.

106364868 is an abundant number, since it is smaller than the sum of its proper divisors (142856412).

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

106364868 is a wasteful number, since it uses less digits than its factorization.

106364868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37027 (or 37025 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 106364868 is about 10313.3344753285. The cubic root of 106364868 is about 473.8047407408.

The spelling of 106364868 in words is "one hundred six million, three hundred sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 241 482 723 964 1446 2892 36779 73558 110337 147116 220674 441348 8863739 17727478 26591217 35454956 53182434 106364868