Search a number
-
+
105354125555 = 573591041203
BaseRepresentation
bin110001000011110011…
…0000110000011110011
3101001221022101002202012
41202013212012003303
53211231124004210
6120222104313135
710416526202000
oct1420746060363
9331838332665
10105354125555
1140753725958
1218502a727ab
139c1cb3a283
1451561848a7
152b192e2305
hex18879860f3

105354125555 has 32 divisors (see below), whose sum is σ = 149933376000. Its totient is φ = 71018306016.

The previous prime is 105354125537. The next prime is 105354125641. The reversal of 105354125555 is 555521453501.

It is not a de Polignac number, because 105354125555 - 222 = 105349931251 is a prime.

It is a super-2 number, since 2×1053541255552 (a number of 23 digits) contains 22 as substring.

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, 419417 + ... + 621786.

It is an arithmetic number, because the mean of its divisors is an integer number (4685418000).

Almost surely, 2105354125555 is an apocalyptic number.

105354125555 is a deficient number, since it is larger than the sum of its proper divisors (44579250445).

105354125555 is an equidigital number, since it uses as much as digits as its factorization.

105354125555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041288 (or 1041274 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 105354125555 in words is "one hundred five billion, three hundred fifty-four million, one hundred twenty-five thousand, five hundred fifty-five".

Divisors: 1 5 7 35 49 59 245 295 343 413 1715 2065 2891 14455 20237 101185 1041203 5206015 7288421 36442105 51018947 61430977 255094735 307154885 357132629 430016839 1785663145 2150084195 3010117873 15050589365 21070825111 105354125555