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105474123260 = 225113712957509
BaseRepresentation
bin110001000111010111…
…1110110010111111100
3101002020200011121122122
41202032233312113330
53212002333421020
6120242032302112
710422514153352
oct1421657662774
9332220147578
10105474123260
1140805435a10
12185370a1938
139c3b96312c
14516809d7d2
152b24ae7125
hex188ebf65fc

105474123260 has 48 divisors (see below), whose sum is σ = 248162231520. Its totient is φ = 37317623040.

The previous prime is 105474123259. The next prime is 105474123289. The reversal of 105474123260 is 62321474501.

105474123260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054741232602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105474123260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6470615 + ... + 6486894.

It is an arithmetic number, because the mean of its divisors is an integer number (5170046490).

Almost surely, 2105474123260 is an apocalyptic number.

105474123260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105474123260 is an abundant number, since it is smaller than the sum of its proper divisors (142688108260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105474123260 is a wasteful number, since it uses less digits than its factorization.

105474123260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957566 (or 12957564 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 105474123260 its reverse (62321474501), we get a palindrome (167795597761).

The spelling of 105474123260 in words is "one hundred five billion, four hundred seventy-four million, one hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 12957509 25915018 51830036 64787545 129575090 142532599 259150180 285065198 479427833 570130396 712662995 958855666 1425325990 1917711332 2397139165 2850651980 4794278330 5273706163 9588556660 10547412326 21094824652 26368530815 52737061630 105474123260