Search a number
-
+
105530153 = 1017611373
BaseRepresentation
bin1100100101001…
…00001100101001
321100120111011012
412102210030221
5204003431103
614245513305
72420664041
oct622441451
9240514135
10105530153
1154629403
122b412835
1318b2b9a1
1410030721
1593e82d8
hex64a4329

105530153 has 8 divisors (see below), whose sum is σ = 106792776. Its totient is φ = 104272000.

The previous prime is 105530149. The next prime is 105530167. The reversal of 105530153 is 351035501.

It can be written as a sum of positive squares in 4 ways, for example, as 39400729 + 66129424 = 6277^2 + 8132^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105530153 - 22 = 105530149 is a prime.

It is a super-2 number, since 2×1055301532 = 22273226384406818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105530053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76175 + ... + 77547.

It is an arithmetic number, because the mean of its divisors is an integer number (13349097).

Almost surely, 2105530153 is an apocalyptic number.

It is an amenable number.

105530153 is a deficient number, since it is larger than the sum of its proper divisors (1262623).

105530153 is a wasteful number, since it uses less digits than its factorization.

105530153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 105530153 is about 10272.7870122961. The cubic root of 105530153 is about 472.5620653239.

Adding to 105530153 its reverse (351035501), we get a palindrome (456565654).

The spelling of 105530153 in words is "one hundred five million, five hundred thirty thousand, one hundred fifty-three".

Divisors: 1 101 761 1373 76861 138673 1044853 105530153