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106323768 = 23321476719
BaseRepresentation
bin1100101011001…
…01111100111000
321102001210210100
412111211330320
5204204330033
614314515400
72430510555
oct625457470
9242053710
10106323768
1155020691
122b735b60
1319048c95
1410199a2c
159503513
hex6565f38

106323768 has 24 divisors (see below), whose sum is σ = 287960400. Its totient is φ = 35441232.

The previous prime is 106323751. The next prime is 106323787. The reversal of 106323768 is 867323601.

It is a happy number.

106323768 is a `hidden beast` number, since 10 + 632 + 3 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1063237682 = 22609487283435648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 738288 + ... + 738431.

It is an arithmetic number, because the mean of its divisors is an integer number (11998350).

Almost surely, 2106323768 is an apocalyptic number.

106323768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106323768 is an abundant number, since it is smaller than the sum of its proper divisors (181636632).

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

106323768 is a wasteful number, since it uses less digits than its factorization.

106323768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476731 (or 1476724 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106323768 is about 10311.3417167699. The cubic root of 106323768 is about 473.7437059149.

It can be divided in two parts, 10632 and 3768, that added together give a square (14400 = 1202).

The spelling of 106323768 in words is "one hundred six million, three hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1476719 2953438 4430157 5906876 8860314 11813752 13290471 17720628 26580942 35441256 53161884 106323768