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106356544020 = 22335196956563
BaseRepresentation
bin110001100001101011…
…0000001001000010100
3101011112011121020101000
41203003112001020110
53220304233402040
6120505353503300
710453420464546
oct1430326011024
9334464536330
10106356544020
1141118550771
1218742711b30
13a04c7131ac
14520d361696
152b77300130
hex18c3581214

106356544020 has 48 divisors (see below), whose sum is σ = 330887027520. Its totient is φ = 28361744928.

The previous prime is 106356543991. The next prime is 106356544031. The reversal of 106356544020 is 20445653601.

106356544020 is a `hidden beast` number, since 1 + 0 + 63 + 56 + 544 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×1063565440202 (a number of 23 digits) 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98477742 + ... + 98478821.

It is an arithmetic number, because the mean of its divisors is an integer number (6893479740).

Almost surely, 2106356544020 is an apocalyptic number.

106356544020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106356544020 is an abundant number, since it is smaller than the sum of its proper divisors (224530483500).

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

106356544020 is a wasteful number, since it uses less digits than its factorization.

106356544020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196956581 (or 196956573 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 106356544020 in words is "one hundred six billion, three hundred fifty-six million, five hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 196956563 393913126 590869689 787826252 984782815 1181739378 1772609067 1969565630 2363478756 2954348445 3545218134 3939131260 5317827201 5908696890 7090436268 8863045335 10635654402 11817393780 17726090670 21271308804 26589136005 35452181340 53178272010 106356544020