Search a number
-
+
106381047 = 3337310513
BaseRepresentation
bin1100101011100…
…11111011110111
321102011201100210
412111303323313
5204213143142
614320040503
72431136553
oct625637367
9242151323
10106381047
115505a723
122b763133
1319069086
14101b2863
15951549c
hex6573ef7

106381047 has 8 divisors (see below), whose sum is σ = 141896944. Its totient is φ = 70892928.

The previous prime is 106381027. The next prime is 106381061. The reversal of 106381047 is 740183601.

It is a happy number.

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

It is not a de Polignac number, because 106381047 - 26 = 106380983 is a prime.

It is a super-2 number, since 2×1063810472 = 22633854321632418, 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 (106381007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4863 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (17737118).

Almost surely, 2106381047 is an apocalyptic number.

106381047 is a deficient number, since it is larger than the sum of its proper divisors (35515897).

106381047 is a wasteful number, since it uses less digits than its factorization.

106381047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106381047 is about 10314.1188183965. The cubic root of 106381047 is about 473.8287627648.

The spelling of 106381047 in words is "one hundred six million, three hundred eighty-one thousand, forty-seven".

Divisors: 1 3 3373 10119 10513 31539 35460349 106381047