Search a number
-
+
106346875 = 5534031
BaseRepresentation
bin1100101011010…
…11100101111011
321102002222111011
412111223211323
5204211100000
614315214351
72430635125
oct625534573
9242088434
10106346875
1155036a88
122b7473b7
131905665b
14101a4215
15950a2ba
hex656b97b

106346875 has 12 divisors (see below), whose sum is σ = 132928992. Its totient is φ = 85075000.

The previous prime is 106346873. The next prime is 106346881. The reversal of 106346875 is 578643601.

It is a happy number.

It is not a de Polignac number, because 106346875 - 21 = 106346873 is a prime.

It is a super-2 number, since 2×1063468752 = 22619315644531250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106346873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13891 + ... + 20140.

It is an arithmetic number, because the mean of its divisors is an integer number (11077416).

Almost surely, 2106346875 is an apocalyptic number.

106346875 is a deficient number, since it is larger than the sum of its proper divisors (26582117).

106346875 is an frugal number, since it uses more digits than its factorization.

106346875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34056 (or 34036 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 106346875 is about 10312.4621211426. The cubic root of 106346875 is about 473.7780224906.

The spelling of 106346875 in words is "one hundred six million, three hundred forty-six thousand, eight hundred seventy-five".

Divisors: 1 5 25 125 625 3125 34031 170155 850775 4253875 21269375 106346875