Search a number
-
+
106345041 = 31113012477
BaseRepresentation
bin1100101011010…
…11001001010001
321102002212222020
412111223021101
5204211020131
614315202053
72430626565
oct625531121
9242085866
10106345041
1155035670
122b746329
131905587a
14101a36a5
159509996
hex656b251

106345041 has 16 divisors (see below), whose sum is σ = 154865088. Its totient is φ = 64376000.

The previous prime is 106345039. The next prime is 106345061. The reversal of 106345041 is 140543601.

It is a cyclic number.

It is not a de Polignac number, because 106345041 - 21 = 106345039 is a prime.

It is a super-2 number, since 2×1063450412 = 22618535490583362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106345061) 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 15 ways as a sum of consecutive naturals, for example, 41695 + ... + 44171.

It is an arithmetic number, because the mean of its divisors is an integer number (9679068).

Almost surely, 2106345041 is an apocalyptic number.

106345041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106345041 is a deficient number, since it is larger than the sum of its proper divisors (48520047).

106345041 is a wasteful number, since it uses less digits than its factorization.

106345041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106345041 is about 10312.3731992204. The cubic root of 106345041 is about 473.7752989694.

Subtracting from 106345041 its product of nonzero digits (1440), we obtain a palindrome (106343601).

Adding to 106345041 its reverse (140543601), we get a palindrome (246888642).

The spelling of 106345041 in words is "one hundred six million, three hundred forty-five thousand, forty-one".

Divisors: 1 3 11 33 1301 2477 3903 7431 14311 27247 42933 81741 3222577 9667731 35448347 106345041