Search a number
-
+
105574306084 = 22132124972
BaseRepresentation
bin110001001010010111…
…0000001000100100100
3101002111122200102122121
41202110232001010210
53212204010243314
6120300011435324
710425141536512
oct1422456010444
9332448612577
10105574306084
1140856a41835
1218564755b44
139c5663bc00
1451774db4b2
152b2d7d5d24
hex1894b81124

105574306084 has 27 divisors (see below), whose sum is σ = 200076196467. Its totient is φ = 48722703744.

The previous prime is 105574306081. The next prime is 105574306091. The reversal of 105574306084 is 480603475501.

The square root of 105574306084 is 324922.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12841875684 + 92732430400 = 113322^2 + 304520^2 .

It is a super-2 number, since 2×1055743060842 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105574306084.

It is not an unprimeable number, because it can be changed into a prime (105574306081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8441724 + ... + 8454220.

Almost surely, 2105574306084 is an apocalyptic number.

105574306084 is the 324922-nd square number.

It is an amenable number.

105574306084 is a deficient number, since it is larger than the sum of its proper divisors (94501890383).

105574306084 is an frugal number, since it uses more digits than its factorization.

105574306084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25024 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 105574306084 in words is "one hundred five billion, five hundred seventy-four million, three hundred six thousand, eighty-four".

Divisors: 1 2 4 13 26 52 169 338 676 12497 24994 49988 162461 324922 649844 2111993 4223986 8447972 156175009 312350018 624700036 2030275117 4060550234 8121100468 26393576521 52787153042 105574306084