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105655418881 = 151936954217
BaseRepresentation
bin110001001100110001…
…1011100000000000001
3101002201022022101111021
41202121203130000001
53212340241401011
6120312030145441
710430145146125
oct1423143340001
9332638271437
10105655418881
1140898803001
1218587952281
139c6a39b94c
1451841b3585
152b359a9471
hex18998dc001

105655418881 has 4 divisors (see below), whose sum is σ = 105662388292. Its totient is φ = 105648449472.

The previous prime is 105655418851. The next prime is 105655418929. The reversal of 105655418881 is 188814556501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 90120040000 + 15535378881 = 300200^2 + 124641^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655418881 - 215 = 105655386113 is a prime.

It is a super-2 number, since 2×1056554188812 (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 (105655418801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3461916 + ... + 3492301.

It is an arithmetic number, because the mean of its divisors is an integer number (26415597073).

Almost surely, 2105655418881 is an apocalyptic number.

It is an amenable number.

105655418881 is a deficient number, since it is larger than the sum of its proper divisors (6969411).

105655418881 is an equidigital number, since it uses as much as digits as its factorization.

105655418881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969410.

The product of its (nonzero) digits is 1536000, while the sum is 52.

The spelling of 105655418881 in words is "one hundred five billion, six hundred fifty-five million, four hundred eighteen thousand, eight hundred eighty-one".

Divisors: 1 15193 6954217 105655418881