Search a number
-
+
106182717 = 3291220491
BaseRepresentation
bin1100101010000…
…11100000111101
321101210122022020
412111003200331
5204140321332
614311510353
72426352414
oct625034075
9241718266
10106182717
1154a34713
122b6883b9
1318cc9a14
141016047b
1594c682c
hex654383d

106182717 has 8 divisors (see below), whose sum is σ = 146459040. Its totient is φ = 68347440.

The previous prime is 106182707. The next prime is 106182721. The reversal of 106182717 is 717281601.

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

It is not a de Polignac number, because 106182717 - 212 = 106178621 is a prime.

It is a super-2 number, since 2×1061827172 = 22549538779004178, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106182707) 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, 610159 + ... + 610332.

It is an arithmetic number, because the mean of its divisors is an integer number (18307380).

Almost surely, 2106182717 is an apocalyptic number.

It is an amenable number.

106182717 is a deficient number, since it is larger than the sum of its proper divisors (40276323).

106182717 is a wasteful number, since it uses less digits than its factorization.

106182717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220523.

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 106182717 is about 10304.4998423019. The cubic root of 106182717 is about 473.5341209349.

The spelling of 106182717 in words is "one hundred six million, one hundred eighty-two thousand, seven hundred seventeen".

Divisors: 1 3 29 87 1220491 3661473 35394239 106182717