Search a number
-
+
105245432135 = 597479453029
BaseRepresentation
bin110001000000100011…
…1011101100101000111
3101001122201211220101222
41202001013131211013
53211020312312020
6120203222510555
710414036261364
oct1420107354507
9331581756358
10105245432135
11406a8336988
121849259545b
139c0347183c
14514596d46b
152b0e9c1b25
hex18811dd947

105245432135 has 16 divisors (see below), whose sum is σ = 127863187200. Its totient is φ = 83154195456.

The previous prime is 105245432077. The next prime is 105245432137. The reversal of 105245432135 is 531234542501.

It is a cyclic number.

It is not a de Polignac number, because 105245432135 - 210 = 105245431111 is a prime.

It is a super-2 number, since 2×1052454321352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105245432095 and 105245432104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245432137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5801 + ... + 458829.

It is an arithmetic number, because the mean of its divisors is an integer number (7991449200).

Almost surely, 2105245432135 is an apocalyptic number.

105245432135 is a deficient number, since it is larger than the sum of its proper divisors (22617755065).

105245432135 is an equidigital number, since it uses as much as digits as its factorization.

105245432135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453610.

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 105245432135 its reverse (531234542501), we get a palindrome (636479974636).

The spelling of 105245432135 in words is "one hundred five billion, two hundred forty-five million, four hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 5 97 479 485 2395 46463 232315 453029 2265145 43943813 217000891 219719065 1085004455 21049086427 105245432135