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106566765670 = 2515170574017
BaseRepresentation
bin110001100111111011…
…1111100110001100110
3101012001211011121021001
41203033313330301212
53221222043000140
6120542303343514
710461552363631
oct1431767746146
9335054147231
10106566765670
1141216185372
12187a0bb1b9a
13a084138bc1
14522d244c18
152b8a9c7e9a
hex18cfdfcc66

106566765670 has 16 divisors (see below), whose sum is σ = 193090513248. Its totient is φ = 42344409600.

The previous prime is 106566765661. The next prime is 106566765673. The reversal of 106566765670 is 76567665601.

It is a happy number.

It is a super-2 number, since 2×1065667656702 (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 (106566765673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35285499 + ... + 35288518.

It is an arithmetic number, because the mean of its divisors is an integer number (12068157078).

Almost surely, 2106566765670 is an apocalyptic number.

106566765670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106566765670 is a deficient number, since it is larger than the sum of its proper divisors (86523747578).

106566765670 is a wasteful number, since it uses less digits than its factorization.

106566765670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70574175.

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 106566765670 in words is "one hundred six billion, five hundred sixty-six million, seven hundred sixty-five thousand, six hundred seventy".

Divisors: 1 2 5 10 151 302 755 1510 70574017 141148034 352870085 705740170 10656676567 21313353134 53283382835 106566765670