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106903207168 = 28417590653
BaseRepresentation
bin110001110001111101…
…1010111110100000000
3101012221021020121020021
41203203323113310000
53222414210112133
6121035522423224
710503106160632
oct1434373276400
9335837217207
10106903207168
114137908989a
1218875801b14
13a108a55904
145261bc2a52
152baa2d452d
hex18e3ed7d00

106903207168 has 18 divisors (see below), whose sum is σ = 213388824194. Its totient is φ = 53451603456.

The previous prime is 106903207163. The next prime is 106903207193. The reversal of 106903207168 is 861702309601.

106903207168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 90837137664 + 16066069504 = 301392^2 + 126752^2 .

It is a super-2 number, since 2×1069032071682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106903207163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208795071 + ... + 208795582.

Almost surely, 2106903207168 is an apocalyptic number.

It is an amenable number.

106903207168 is a deficient number, since it is larger than the sum of its proper divisors (106485617026).

106903207168 is an frugal number, since it uses more digits than its factorization.

106903207168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417590669 (or 417590655 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 106903207168 in words is "one hundred six billion, nine hundred three million, two hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 417590653 835181306 1670362612 3340725224 6681450448 13362900896 26725801792 53451603584 106903207168