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106663141 = 1319134289
BaseRepresentation
bin1100101101110…
…00110011100101
321102201001022201
412112320303211
5204301210031
614330054501
72433423154
oct626706345
9242631281
10106663141
1155232662
122b87a431
13191375b0
141024759b
15956dd61
hex65b8ce5

106663141 has 8 divisors (see below), whose sum is σ = 114954840. Its totient is φ = 98383872.

The previous prime is 106663133. The next prime is 106663153. The reversal of 106663141 is 141366601.

It can be written as a sum of positive squares in 4 ways, for example, as 41796225 + 64866916 = 6465^2 + 8054^2 .

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 106663141 - 23 = 106663133 is a prime.

It is a super-3 number, since 3×1066631413 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106663111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22725 + ... + 27013.

It is an arithmetic number, because the mean of its divisors is an integer number (14369355).

Almost surely, 2106663141 is an apocalyptic number.

It is an amenable number.

106663141 is a deficient number, since it is larger than the sum of its proper divisors (8291699).

106663141 is a wasteful number, since it uses less digits than its factorization.

106663141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 106663141 is about 10327.7849028724. The cubic root of 106663141 is about 474.2472153660.

The spelling of 106663141 in words is "one hundred six million, six hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 13 1913 4289 24869 55757 8204857 106663141