Search a number
-
+
106547369 = 736132381
BaseRepresentation
bin1100101100111…
…00100010101001
321102111011111212
412112130202221
5204234003434
614323402505
72432431505
oct626344251
9242434455
10106547369
1155163685
122b823435
13190c69a6
1410217305
1595498ce
hex659c8a9

106547369 has 8 divisors (see below), whose sum is σ = 108228552. Its totient is φ = 104872320.

The previous prime is 106547359. The next prime is 106547401. The reversal of 106547369 is 963745601.

It can be written as a sum of positive squares in 4 ways, for example, as 10272025 + 96275344 = 3205^2 + 9812^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106547369 is a prime.

It is a super-3 number, since 3×1065473693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106547359) 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, 43559 + ... + 45939.

It is an arithmetic number, because the mean of its divisors is an integer number (13528569).

Almost surely, 2106547369 is an apocalyptic number.

It is an amenable number.

106547369 is a deficient number, since it is larger than the sum of its proper divisors (1681183).

106547369 is an equidigital number, since it uses as much as digits as its factorization.

106547369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 106547369 is about 10322.1785006848. The cubic root of 106547369 is about 474.0755708644.

The spelling of 106547369 in words is "one hundred six million, five hundred forty-seven thousand, three hundred sixty-nine".

Divisors: 1 73 613 2381 44749 173813 1459553 106547369