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105666155521 = 1492516328183
BaseRepresentation
bin110001001101000110…
…0011001010000000001
3101002202001111212101121
41202122030121100001
53212401013434041
6120313052232241
710430335334233
oct1423214312001
9332661455347
10105666155521
11408a3876663
121858b46b681
139c6c68a8a4
1451857aa253
152b368ca7d1
hex189a319401

105666155521 has 8 divisors (see below), whose sum is σ = 106383326400. Its totient is φ = 104949091632.

The previous prime is 105666155489. The next prime is 105666155603. The reversal of 105666155521 is 125551666501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105666155521 - 25 = 105666155489 is a prime.

It is a super-2 number, since 2×1056661555212 (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 (105666155821) 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 7 ways as a sum of consecutive naturals, for example, 3735196 + ... + 3763378.

It is an arithmetic number, because the mean of its divisors is an integer number (13297915800).

Almost surely, 2105666155521 is an apocalyptic number.

It is an amenable number.

105666155521 is a deficient number, since it is larger than the sum of its proper divisors (717170879).

105666155521 is a wasteful number, since it uses less digits than its factorization.

105666155521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53495.

The product of its (nonzero) digits is 270000, while the sum is 43.

The spelling of 105666155521 in words is "one hundred five billion, six hundred sixty-six million, one hundred fifty-five thousand, five hundred twenty-one".

Divisors: 1 149 25163 28183 3749287 4199267 709168829 105666155521