Search a number
-
+
105503704268106 = 2339744292067283
BaseRepresentation
bin10111111111010001111110…
…110100001011110101001010
3111211120001111112212200111110
4113333101332310023311022
5102312033041243034411
61012215422125511150
731136251100425404
oct2777217664136512
9454501445780443
10105503704268106
1130686962646631
12b9bb3a91124b6
1346b3c589144a1
141c0a59974db74
15c2e5d7e302a6
hex5ff47ed0bd4a

105503704268106 has 16 divisors (see below), whose sum is σ = 211538913348384. Its totient is φ = 35079317287344.

The previous prime is 105503704268099. The next prime is 105503704268107. The reversal of 105503704268106 is 601862407305501.

It is a super-2 number, since 2×1055037042681062 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105503704268107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22146031260 + ... + 22146036023.

It is an arithmetic number, because the mean of its divisors is an integer number (13221182084274).

Almost surely, 2105503704268106 is an apocalyptic number.

105503704268106 is an abundant number, since it is smaller than the sum of its proper divisors (106035209080278).

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

105503704268106 is a wasteful number, since it uses less digits than its factorization.

105503704268106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44292067685.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 105503704268106 in words is "one hundred five trillion, five hundred three billion, seven hundred four million, two hundred sixty-eight thousand, one hundred six".

Divisors: 1 2 3 6 397 794 1191 2382 44292067283 88584134566 132876201849 265752403698 17583950711351 35167901422702 52751852134053 105503704268106