Search a number
-
+
106514121 = 376775703
BaseRepresentation
bin1100101100101…
…00011011001001
321102102110220110
412112110123021
5204231422441
614322544533
72432232540
oct626243311
9242373813
10106514121
11551406aa
122b808149
13190b480c
1410209157
15953eb16
hex65946c9

106514121 has 16 divisors (see below), whose sum is σ = 164731904. Its totient is φ = 59955984.

The previous prime is 106514101. The next prime is 106514123. The reversal of 106514121 is 121415601.

It is not a de Polignac number, because 106514121 - 213 = 106505929 is a prime.

It is a super-2 number, since 2×1065141212 = 22690515944805282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106514123) 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 15 ways as a sum of consecutive naturals, for example, 36445 + ... + 39258.

It is an arithmetic number, because the mean of its divisors is an integer number (10295744).

Almost surely, 2106514121 is an apocalyptic number.

It is an amenable number.

106514121 is a deficient number, since it is larger than the sum of its proper divisors (58217783).

106514121 is an equidigital number, since it uses as much as digits as its factorization.

106514121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75780.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 106514121 is about 10320.5678622835. The cubic root of 106514121 is about 474.0262541316.

Adding to 106514121 its reverse (121415601), we get a palindrome (227929722).

The spelling of 106514121 in words is "one hundred six million, five hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 7 21 67 201 469 1407 75703 227109 529921 1589763 5072101 15216303 35504707 106514121