Search a number
-
+
106663151 = 7217128047
BaseRepresentation
bin1100101101110…
…00110011101111
321102201001100002
412112320303233
5204301210101
614330054515
72433423200
oct626706357
9242631302
10106663151
1155232671
122b87a43b
13191375ba
14102475a7
15956dd6b
hex65b8cef

106663151 has 12 divisors (see below), whose sum is σ = 131377248. Its totient is φ = 86046912.

The previous prime is 106663133. The next prime is 106663153. The reversal of 106663151 is 151366601.

It is a de Polignac number, because none of the positive numbers 2k-106663151 is a prime.

It is a super-2 number, since 2×1066631512 = 22754055562497602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106663153) 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 11 ways as a sum of consecutive naturals, for example, 63191 + ... + 64856.

It is an arithmetic number, because the mean of its divisors is an integer number (10948104).

Almost surely, 2106663151 is an apocalyptic number.

106663151 is a deficient number, since it is larger than the sum of its proper divisors (24714097).

106663151 is a wasteful number, since it uses less digits than its factorization.

106663151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128078 (or 128071 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106663151 is about 10327.7853870034. The cubic root of 106663151 is about 474.2472301868.

The spelling of 106663151 in words is "one hundred six million, six hundred sixty-three thousand, one hundred fifty-one".

Divisors: 1 7 17 49 119 833 128047 896329 2176799 6274303 15237593 106663151