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106411345020 = 22325591174139
BaseRepresentation
bin110001100011010011…
…1000100010001111100
3101011122222201102012200
41203012213010101330
53220412301020040
6120515032231500
710454654336331
oct1430647042174
9334588642180
10106411345020
1141146480552
1218758b3b590
13a05ab8c916
145216748988
152b7c027630
hex18c69c447c

106411345020 has 36 divisors (see below), whose sum is σ = 322781080440. Its totient is φ = 28376358624.

The previous prime is 106411345009. The next prime is 106411345043. The reversal of 106411345020 is 20543114601.

It is a happy number.

106411345020 is a `hidden beast` number, since 1 + 0 + 641 + 13 + 4 + 5 + 0 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1064113450202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 295586890 + ... + 295587249.

Almost surely, 2106411345020 is an apocalyptic number.

106411345020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106411345020 is an abundant number, since it is smaller than the sum of its proper divisors (216369735420).

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

106411345020 is a wasteful number, since it uses less digits than its factorization.

106411345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591174154 (or 591174149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 106411345020 its reverse (20543114601), we get a palindrome (126954459621).

The spelling of 106411345020 in words is "one hundred six billion, four hundred eleven million, three hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 591174139 1182348278 1773522417 2364696556 2955870695 3547044834 5320567251 5911741390 7094089668 8867612085 10641134502 11823482780 17735224170 21282269004 26602836255 35470448340 53205672510 106411345020