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105500886481 = 3248092
BaseRepresentation
bin110001001000001010…
…1111100010111010001
3101002022112112022220001
41202100111330113101
53212031211331411
6120244430050001
710423260511264
oct1422025742721
9332275468801
10105500886481
1140819555581
1218544049901
139c44373a63
14516b868cdb
152b27131dc1
hex189057c5d1

105500886481 has 3 divisors (see below), whose sum is σ = 105501211291. Its totient is φ = 105500561672.

The previous prime is 105500886457. The next prime is 105500886563. The reversal of 105500886481 is 184688005501.

The square root of 105500886481 is 324809.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 184688005501 = 1811020375721.

It can be written as a sum of positive squares in only one way, i.e., 74861884881 + 30639001600 = 273609^2 + 175040^2 .

It is not a de Polignac number, because 105500886481 - 27 = 105500886353 is a prime.

It is a super-2 number, since 2×1055008864812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105500886401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162405 + ... + 487213.

Almost surely, 2105500886481 is an apocalyptic number.

105500886481 is the 324809-th square number.

105500886481 is the 162405-th centered octagonal number.

It is an amenable number.

105500886481 is a deficient number, since it is larger than the sum of its proper divisors (324810).

105500886481 is an frugal number, since it uses more digits than its factorization.

105500886481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649618 (or 324809 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 46.

The spelling of 105500886481 in words is "one hundred five billion, five hundred million, eight hundred eighty-six thousand, four hundred eighty-one".

Divisors: 1 324809 105500886481