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106555560501 = 3139728166947
BaseRepresentation
bin110001100111100110…
…1001101001000110101
3101012001001002022122210
41203033031031020311
53221211210414001
6120541223244033
710461355214535
oct1431715151065
9335031068583
10106555560501
114120a9217a5
12187992a9619
13a081a14920
14522b9694c5
152b89a12dd6
hex18cf34d235

106555560501 has 16 divisors (see below), whose sum is σ = 154580210624. Its totient is φ = 64896643584.

The previous prime is 106555560497. The next prime is 106555560541. The reversal of 106555560501 is 105065555601.

It is not a de Polignac number, because 106555560501 - 22 = 106555560497 is a prime.

It is a super-2 number, since 2×1065555605012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106555560501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555560541) 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 15 ways as a sum of consecutive naturals, for example, 14079691 + ... + 14087256.

It is an arithmetic number, because the mean of its divisors is an integer number (9661263164).

Almost surely, 2106555560501 is an apocalyptic number.

It is an amenable number.

106555560501 is a deficient number, since it is larger than the sum of its proper divisors (48024650123).

106555560501 is a wasteful number, since it uses less digits than its factorization.

106555560501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28167060.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 106555560501 in words is "one hundred six billion, five hundred fifty-five million, five hundred sixty thousand, five hundred one".

Divisors: 1 3 13 39 97 291 1261 3783 28166947 84500841 366170311 1098510933 2732193859 8196581577 35518520167 106555560501