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106656056061 = 341279267713
BaseRepresentation
bin110001101010100110…
…0100100001011111101
3101012022001012000122120
41203111030210023331
53221412422243221
6120555213233153
710464015342522
oct1432514441375
9335261160576
10106656056061
1141261621585
1218806a927b9
13a09979cb59
14523b049149
152b937645c6
hex18d53242fd

106656056061 has 24 divisors (see below), whose sum is σ = 147606791040. Its totient is φ = 68491438080.

The previous prime is 106656056051. The next prime is 106656056153. The reversal of 106656056061 is 160650656601.

It is not a de Polignac number, because 106656056061 - 26 = 106656055997 is a prime.

It is a super-2 number, since 2×1066560560612 (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 (106656056051) 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 23 ways as a sum of consecutive naturals, for example, 264541 + ... + 532253.

It is an arithmetic number, because the mean of its divisors is an integer number (6150282960).

Almost surely, 2106656056061 is an apocalyptic number.

It is an amenable number.

106656056061 is a deficient number, since it is larger than the sum of its proper divisors (40950734979).

106656056061 is an equidigital number, since it uses as much as digits as its factorization.

106656056061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267877 (or 267836 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 106656056061 in words is "one hundred six billion, six hundred fifty-six million, fifty-six thousand, sixty-one".

Divisors: 1 3 41 79 123 237 1681 3239 5043 9717 132799 267713 398397 803139 10976233 21149327 32928699 63447981 450025553 867122407 1350076659 2601367221 35552018687 106656056061