Search a number
-
+
105355653 = 3132701427
BaseRepresentation
bin1100100011110…
…01100110000101
321100020121210020
412101321212011
5203432340103
614242045353
72416336224
oct621714605
9240217706
10105355653
115451a297
122b349859
1318a9a430
14ddc6cbb
1593b1753
hex6479985

105355653 has 8 divisors (see below), whose sum is σ = 151279968. Its totient is φ = 64834224.

The previous prime is 105355631. The next prime is 105355669. The reversal of 105355653 is 356553501.

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

It is not a de Polignac number, because 105355653 - 222 = 101161349 is a prime.

It is a super-2 number, since 2×1053556532 = 22199627238112818, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355553) 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 7 ways as a sum of consecutive naturals, for example, 1350675 + ... + 1350752.

It is an arithmetic number, because the mean of its divisors is an integer number (18909996).

Almost surely, 2105355653 is an apocalyptic number.

105355653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105355653 is a deficient number, since it is larger than the sum of its proper divisors (45924315).

105355653 is a wasteful number, since it uses less digits than its factorization.

105355653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701443.

The product of its (nonzero) digits is 33750, while the sum is 33.

The square root of 105355653 is about 10264.2901849081. The cubic root of 105355653 is about 472.3014523719.

The spelling of 105355653 in words is "one hundred five million, three hundred fifty-five thousand, six hundred fifty-three".

Divisors: 1 3 13 39 2701427 8104281 35118551 105355653