Search a number
-
+
106316505 = 3252362589
BaseRepresentation
bin1100101011001…
…00001011011001
321102001102211100
412111210023121
5204204112010
614314422013
72430450441
oct625441331
9242042740
10106316505
1155016189
122b731909
1319045899
1410197121
1595012c0
hex65642d9

106316505 has 12 divisors (see below), whose sum is σ = 184282020. Its totient is φ = 56702112.

The previous prime is 106316501. The next prime is 106316537. The reversal of 106316505 is 505613601.

It is a happy number.

106316505 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 650 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 93954249 = 3516^2 + 9693^2 .

It is not a de Polignac number, because 106316505 - 22 = 106316501 is a prime.

It is a super-2 number, since 2×1063165052 = 22606398470830050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106316501) 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 11 ways as a sum of consecutive naturals, for example, 1181250 + ... + 1181339.

It is an arithmetic number, because the mean of its divisors is an integer number (15356835).

Almost surely, 2106316505 is an apocalyptic number.

106316505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106316505 is a deficient number, since it is larger than the sum of its proper divisors (77965515).

106316505 is a wasteful number, since it uses less digits than its factorization.

106316505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362600 (or 2362597 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106316505 is about 10310.9895257439. The cubic root of 106316505 is about 473.7329184903.

The spelling of 106316505 in words is "one hundred six million, three hundred sixteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 2362589 7087767 11812945 21263301 35438835 106316505