Search a number
-
+
106778613 = 3195931751
BaseRepresentation
bin1100101110101…
…00111111110101
321102220220201110
412113110333311
5204313403423
614332345233
72434413624
oct627247765
9242826643
10106778613
1155301397
122b915219
1319178016
14102776bb
159593193
hex65d4ff5

106778613 has 16 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 66294000.

The previous prime is 106778599. The next prime is 106778629. The reversal of 106778613 is 316877601.

It is not a de Polignac number, because 106778613 - 224 = 90001397 is a prime.

It is a super-3 number, since 3×1067786133 (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 (106778653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12513 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2106778613 is an apocalyptic number.

It is an amenable number.

106778613 is a deficient number, since it is larger than the sum of its proper divisors (45630987).

106778613 is a wasteful number, since it uses less digits than its factorization.

106778613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31832.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 106778613 is about 10333.3737472328. The cubic root of 106778613 is about 474.4182914104.

The spelling of 106778613 in words is "one hundred six million, seven hundred seventy-eight thousand, six hundred thirteen".

Divisors: 1 3 19 57 59 177 1121 3363 31751 95253 603269 1809807 1873309 5619927 35592871 106778613