Search a number
-
+
105304861845 = 32516714012623
BaseRepresentation
bin110001000010010101…
…0001010110010010101
3101001210212200020122100
41202010222022302111
53211131021034340
6120213144352313
710415360362011
oct1420452126225
9331725606570
10105304861845
1140728938347
12184aa475699
139c1287c051
14514d7dd541
152b14d10830
hex1884a8ac95

105304861845 has 24 divisors (see below), whose sum is σ = 183621424896. Its totient is φ = 55826286048.

The previous prime is 105304861813. The next prime is 105304861859. The reversal of 105304861845 is 548168403501.

105304861845 is a `hidden beast` number, since 10 + 530 + 4 + 8 + 61 + 8 + 45 = 666.

It is not a de Polignac number, because 105304861845 - 25 = 105304861813 is a prime.

It is a super-2 number, since 2×1053048618452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105304861845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6998797 + ... + 7013826.

It is an arithmetic number, because the mean of its divisors is an integer number (7650892704).

Almost surely, 2105304861845 is an apocalyptic number.

105304861845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105304861845 is a deficient number, since it is larger than the sum of its proper divisors (78316563051).

105304861845 is a wasteful number, since it uses less digits than its factorization.

105304861845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012801 (or 14012798 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 105304861845 in words is "one hundred five billion, three hundred four million, eight hundred sixty-one thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 167 501 835 1503 2505 7515 14012623 42037869 70063115 126113607 210189345 630568035 2340108041 7020324123 11700540205 21060972369 35101620615 105304861845