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106555556061 = 3284137140717
BaseRepresentation
bin110001100111100110…
…1001100000011011101
3101012001001002002120100
41203033031030003131
53221211210243221
6120541223211313
710461355165563
oct1431715140335
9335031062510
10106555556061
114120a919429
12187992a6b39
13a081a128b6
14522b967a33
152b89a11926
hex18cf34c0dd

106555556061 has 12 divisors (see below), whose sum is σ = 153916504092. Its totient is φ = 71035688256.

The previous prime is 106555555979. The next prime is 106555556083. The reversal of 106555556061 is 160655555601.

It can be written as a sum of positive squares in 2 ways, for example, as 98291655225 + 8263900836 = 313515^2 + 90906^2 .

It is not a de Polignac number, because 106555556061 - 213 = 106555547869 is a prime.

It is a super-2 number, since 2×1065555560612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106555555998 and 106555556016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555556161) 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 in 11 ways as a sum of consecutive naturals, for example, 686875 + ... + 827591.

It is an arithmetic number, because the mean of its divisors is an integer number (12826375341).

Almost surely, 2106555556061 is an apocalyptic number.

It is an amenable number.

106555556061 is a deficient number, since it is larger than the sum of its proper divisors (47360948031).

106555556061 is a wasteful number, since it uses less digits than its factorization.

106555556061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224860 (or 224857 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 106555556061 in words is "one hundred six billion, five hundred fifty-five million, five hundred fifty-six thousand, sixty-one".

Divisors: 1 3 9 84137 140717 252411 422151 757233 1266453 11839506229 35518518687 106555556061