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106409830 = 2571149873
BaseRepresentation
bin1100101011110…
…10111101100110
321102020011211211
412111322331212
5204220103310
614320422034
72431316512
oct625727546
9242204754
10106409830
115507a30a
122b77791a
13190791c7
14101bd142
15951dc8a
hex657af66

106409830 has 16 divisors (see below), whose sum is σ = 194236704. Its totient is φ = 41964160.

The previous prime is 106409819. The next prime is 106409839. The reversal of 106409830 is 38904601.

It is a super-2 number, since 2×1064098302 = 22646103841257800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106409792 and 106409801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106409839) 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, 74227 + ... + 75646.

It is an arithmetic number, because the mean of its divisors is an integer number (12139794).

Almost surely, 2106409830 is an apocalyptic number.

106409830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106409830 is a deficient number, since it is larger than the sum of its proper divisors (87826874).

106409830 is a wasteful number, since it uses less digits than its factorization.

106409830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149951.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 106409830 is about 10315.5140443896. The cubic root of 106409830 is about 473.8714927556.

The spelling of 106409830 in words is "one hundred six million, four hundred nine thousand, eight hundred thirty".

Divisors: 1 2 5 10 71 142 355 710 149873 299746 749365 1498730 10640983 21281966 53204915 106409830