Search a number
-
+
106362045 = 335799973
BaseRepresentation
bin1100101011011…
…11010010111101
321102010202022000
412111233102331
5204212041140
614315412513
72431030266
oct625572275
9242122260
10106362045
1155047419
122b754139
131906052a
14101a996d
15950ea30
hex656f4bd

106362045 has 32 divisors (see below), whose sum is σ = 191500800. Its totient is φ = 56002752.

The previous prime is 106362037. The next prime is 106362071. The reversal of 106362045 is 540263601.

106362045 is a `hidden beast` number, since 1 + 0 + 636 + 20 + 4 + 5 = 666.

It is not a de Polignac number, because 106362045 - 23 = 106362037 is a prime.

It is a super-2 number, since 2×1063620452 = 22625769233164050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5679 + ... + 15651.

It is an arithmetic number, because the mean of its divisors is an integer number (5984400).

Almost surely, 2106362045 is an apocalyptic number.

106362045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106362045 is a deficient number, since it is larger than the sum of its proper divisors (85138755).

106362045 is an equidigital number, since it uses as much as digits as its factorization.

106362045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106362045 is about 10313.1976127678. The cubic root of 106362045 is about 473.8005489976.

The spelling of 106362045 in words is "one hundred six million, three hundred sixty-two thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 79 135 237 395 711 1185 2133 3555 9973 10665 29919 49865 89757 149595 269271 448785 787867 1346355 2363601 3939335 7090803 11818005 21272409 35454015 106362045